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NAME PennsylvanPets AnonymouYes AnonymouNo AnonymouYes AnonymouNo AnonymouYes AnonymouNo AnonymouNo AnonymouYes AnonymouNo AnonymouYes AnonymouNo AnonymouNo AnonymouNo AnonymouYes AnonymouNo AnonymouNo AnonymouNo AnonymouYes AnonymouNo AnonymouNo AnonymouYes AnonymouYes AnonymouYes AnonymouNo AnonymouNo AnonymouYes AnonymouYes AnonymouNo AnonymouYes AnonymouNo AnonymouNo AnonymouYes AnonymouNo AnonymouYes AnonymouNo AnonymouNo AnonymouYes AnonymouNo AnonymouNo AnonymouYes AnonymouYes AnonymouNo AnonymouNo AnonymouYes AnonymouNo AnonymouNo AnonymouNo AnonymouYes AnonymouNo AnonymouNo AnonymouYes AnonymouYes AnonymouNo AnonymouNo AnonymouYes AnonymouYes AnonymouYes AnonymouNo AnonymouNo AnonymouYes AnonymouNo AnonymouYes AnonymouNo AnonymouNo AnonymouYes AnonymouYes AnonymouYes AnonymouNo AnonymouNo AnonymouNo AnonymouNo AnonymouNo AnonymouYes AnonymouYes AnonymouNo AnonymouNo AnonymouYes AnonymouNo AnonymouYes AnonymouNo AnonymouNo AnonymouYes AnonymouNo AnonymouNo 0 2 0 1 2 0 0 1 1 0 1 2 3 4 3 2 1 0 0 2 1 0 2 2 6 2 1 2 1 3 1 0 2 3 0 0 0 3 0 1 0 0 1 0 0 1 0 1 0 2 1 0 5 2 3 1 1 0 2 3 8 0 0 1 2 0 1 5 0 0 0 0 1 0 0 2 14 1 1 2 2 1 0 6 Dog No Yes No Yes Yes No No No Yes No No No Yes No Yes Yes Yes No No Yes Yes No Yes No Yes Yes Yes Yes Yes Yes No No Yes Yes No No No Yes No No No No No No No Yes No Yes No Yes Yes No Yes Yes Yes No Yes No Yes No No No No Yes Yes No Yes Yes No No No No Yes No No No Yes Yes Yes No No No No No Cat No No No No No No No Yes No No Yes Yes Yes Yes Yes No No No No No No No No Yes Yes Yes No No No No Yes No No Yes No No No No No No No No No No No No No No No Yes No No Yes Yes Yes No No No Yes Yes Yes No No No No No No Yes No No No No No No No Yes No No No Yes Yes Yes No Yes Biological Height (in Shoe Size Dieting Female 69 9 Yes Female 63 6 Yes Female 70 10 No Female 62 8 Yes Female 62 8 Yes Female 67 9 No Female 70 10 No Female 63 7 No Male 67 9.5 No Male 71 12 No Female 67 9 No Female 69 10 No Male 72 12 No Female 72 11 No Male 70 10 No Female 65 7.5 No Female 69.6 7.5 No Female 62 7 Yes Male 60 12 Yes Male 71 10 No Male 68 10 Yes Male 66 9 Yes Female 69 9 No Male 71 10.5 No Female 63 7 No Female 60 7 No Male 72 12 No Male 71 11 No Female 62 7 No Male 70 10 No Male 75 13 No Female 63 5 No Female 66 8 No Female 64 8.5 No Male 78 14 No Female 62 5.5 Yes Female 66 6 No Female 65 6.5 No Male 68 9 No Female 67 9 No Female 62 7.5 Yes Female 66 10 No Male 67 10 Yes Male 72 12.5 No Male 69 9 Yes Male 71 10.5 No Female 64 8 Yes Female 67 7 No Female 64 7.5 Yes Female 62 6 No Female 65 8 No Male 68 10 No Female 64 8 Yes Male 74 12 No Female 66 10 No Female 63 7.5 No Male 74 11.5 No Female 64 6 No Female 64 6 No Male 63 9.5 No Female 66 9.5 Yes Female 61 7 Yes Female 66 10 No Male 68 8.5 No Female 67 10 Yes Female 62 7 No Male 67 9.5 Yes Male 71 9.5 No Male 74 No Male 64 8 No Female 64 8.5 Yes Male 75 17 Yes Male 71 11 No Female 64 8 No Male 73 12 Yes Male 68 10 Yes Male 74 12 Yes Male 61 12 No Female 64 8 Yes Female 70 8 Yes Male 69 11 Yes Female 67 8 No Male 69 10 No Male 71 10.5 No Breakfast Coffee (in Exercise (i TV (in hourLanugages No 0 1 3 1 Yes 0 3 6 4 Yes 0 5 10 1 Yes 0 0 2 1 Yes 0 5 5 1 No 0 0 1 2 Yes 2 2 5 1 Yes 1 0 10 1 No 0 0 15 2 Yes 2 1 10 1 No 0 0 10 1 Yes 1 4 0 1 Yes 0 15 2 3 Yes 0 0 8 1 Yes 6 5 10 1 Yes 0 7 10 1 No 2 2 8 1 Yes 0 0 5 2 Yes 5 10 5 1 Yes 1 8 5 1 No 1 2 20 1 Yes 2 10 4 1 Yes 2 3 2 1 Yes 1 8 3 1 No 1 2 2 2 Yes 2 5 5 1 No 0 4 15 1 Yes 5 6 12 1 No 0 5 14 1 No 2 10 2 1 Yes 2 5 5 1 No 1 0 2 2 No 3 4 2 1 Yes 0 0 15 1 No 0 0 6 1 Yes 3 4 6 2 No 0 7 4 1 No 4 0 10 1 No 1 0 40 1 Yes 1 6 3 2 No 3 0 2 1 Yes 0 1 10 1 Yes 2 3 3 1 Yes 0 8 21 1 Yes 4 7 15 1 Yes 1 14 1 5 No 1 2 16 1 No 2 7 15 1 Yes 3 7 3 3 Yes 0 0 12 1 Yes 0 7 3 1 Yes 0 2 3 1 Yes 0 3 10 1 No 0 0 15 1 Yes 2 1 30 1 No 4 0 6 1 Yes 2 4 6 1 No 4 0 8 1 Yes 1 5 10 1 No 3 1 10 1 Yes 0 10 8 1 Yes 1 4 4 2 Yes 0 4 12 1 No 5 0 15 4 Yes 0 2 3 1 Yes 1 0 3 2 Yes 1 8 8 1 No 0 0 20 1 No 2 4 1 2 1 2 10 2 No 0 0 8 1 Yes 0 12 4 4 Yes 0 0 12 1 Yes 0 4 7 1 No 0 5 12 1 Yes 3 0 10 1 Yes 3 20 2 1 Yes 0 5 10 1 Yes 3 4 4 1 Yes 1 5 3 1 No 0 2 21 1 Yes 0 12 12 1 Yes 0 0 7 2 Yes 1 3 12 1 Winter SpoIdeal Marri Figure skat 18 Figure skat 28 Ice hockey 27 Figure skat 34 Ice hockey 28 Figure skat 25 Figure skat 31 Ice hockey 25 Curling 30 Curling 26 Figure skat 25 Figure skat 30 Ice hockey 30 Figure skat 25 Ice hockey 30 Ice hockey 26 Figure skat 30 Ice hockey 27 Ice hockey 30 Figure skat 29 Ice hockey 30 Ice hockey 26 Ice hockey 25 Ice hockey 25 Figure skat 25 Ice hockey 34 Ice hockey Ice hockey Ice hockey Figure skat Ice hockey Figure skat Figure skat Ice hockey Figure skat Ice hockey Figure skat Ice hockey Figure skat Figure skat Figure skat Ice hockey Curling Ice hockey Ice hockey Ice hockey Figure skat Figure skat Ice hockey Ice hockey Ice hockey Ice hockey Ice hockey Ice hockey Figure skat Ice hockey Figure skat Figure skat Ice hockey Ice hockey Figure skat Figure skat Curling Ice hockey Ice hockey Ice hockey Ice hockey Ice hockey Ice hockey 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9.5 8 9 10.5 9 10.5 10 10 10 10 10 10 10.5 11 8.5 9.5 5 7 9 7 Yes No Yes Yes No No No No No No No Yes No Yes No No No Yes No No No No No No No No Yes No No No No No No Yes Yes No Yes No No No No No No Yes No Yes No No No Yes Yes No No No No Yes No Yes No Yes No No Yes No Yes No Yes Yes No Yes No No No Yes No No No No Yes No Yes No No No No No Yes No No Yes No Yes Yes Yes Yes No Yes No Yes Yes Yes No Yes No Yes Yes Yes Yes Yes Yes No Yes Yes Yes Yes Yes Yes Yes Yes No No Yes Yes Yes No No Yes Yes Yes No No Yes No No Yes Yes No No Yes No Yes Yes Yes Yes Yes No Yes Yes No Yes No Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes No No Yes Yes Yes Yes Yes Yes 2 1 0 2 1 0 0 0 12 0 0 0 0 2 3 0 4 1 1 0 0 4 2 5 1 4 0 0 0 2 0 4 2 0 4 0 0 0 0 0 4 1 4 0 4 0 0 0 0 1 2 0 1 1 0 0 2 0 3 0 2 0 2 1 4 3 1 0 4 3 3 3 0 1 0 2 4 0 0 2 1 0 2 0 1 0 5 7.5 4 0 0 2 0 15 0 0 5 3 4 12 6 0 4 2 6 8 5 0 6 0 6 7 3 2 2 20 12 0 3 0 10 2 10 2 5 8 8 4 1 12 0 0 2 0 10 0 12 2 5 0 5 3 3 3 8 0 0 3 2 3 0 2 25 4 1 7 6 2 4 3 6 0 10 8 12 3 3 15 10 2 0 1 0 2 30 2 15 15 10 15 2 2 4 3 10 1 35 20 4 10 2 2 10 2 3 6 14 10 12 0 10 4 10 7 3 6 4 5 2 6 10 20 10 4 5 7 6 5 20 7 0 3 10 15 8 10 4 12 10 5 2 5 20 4 3 3 2 3 6 1 7 3 0 7 0 60 0 5 20 4 14 3 4 1 1 1 1 2 1 1 1 2 1 1 1 1 2 1 1 1 2 2 1 1 1 1 1 1 1 2 1 1 2 2 2 1 1 1 1 1 1 1 1 2 1 2 1 1 2 1 2 1 1 1 1 2 1 1 1 1 1 2 1 1 1 1 2 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 2 1 1 2 1 1 Curling Curling Ice hockey Figure skat Curling Ice hockey Ice hockey Ice hockey Curling Figure skat Ice hockey Ice hockey Figure skat Ice hockey Ice hockey Ice hockey Figure skat Figure skat Figure skat Figure skat Ice hockey Ice hockey Ice hockey Curling Figure skat Figure skat Ice hockey Ice hockey Figure skat Figure skat Ice hockey Ice hockey Ice hockey Figure skat Ice hockey Ice hockey Curling Figure skat Curling Ice hockey Ice hockey Curling Figure skat Ice hockey Ice hockey Ice hockey Ice hockey Figure skat Ice hockey Figure skat Figure skat Figure skat Figure skat Ice hockey Curling Ice hockey Ice hockey 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72 70 67 71 68 69 72 67 65 61 72 60 62 69 68.4 66 70 72 74 75 62 63 66 11.5 9 8.5 11 6 12 5.5 9.5 10.5 10 9 13 7 7 10 9 6.5 15 7.5 8.5 7 10 10.5 9 10 10 12 12 7 10 10 10.5 9.5 12 10 7.5 11 10 7.5 8 10 8 5 8.5 9 10 7 11 7 6.5 11 11 9.5 7.5 11 8.5 7.5 7 12 11 10 7 10.5 9.5 9.5 10.5 10 9 13 10 10 7.5 7 9.5 9.5 8 9 10 14 11 9 7 6 11 Yes No Yes Yes No No No No No No No No No No Yes No No No No Yes Yes No No No No No No No Yes No Yes No Yes Yes Yes No No No No Yes No Yes No No No No No No Yes No Yes No Yes No Yes No No No No Yes No No Yes No No No No No No No No No No No Yes No Yes Yes No No No No Yes Yes Yes Yes No No Yes Yes Yes Yes Yes Yes Yes No Yes Yes Yes No No Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes No Yes No Yes Yes No No Yes No Yes Yes Yes Yes Yes No Yes Yes Yes Yes Yes No Yes Yes No Yes Yes Yes No Yes Yes Yes No Yes Yes Yes Yes Yes No No Yes Yes No No No Yes Yes No No Yes Yes Yes Yes Yes Yes Yes Yes Yes No No 2 0 0 0 1 0 0 4 0 1 0 3 0 0 2 2 4 2 0 0 1 3 4 4 0 4 0 0 0 1 0 2 0 5 0 2 2 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No No No Yes No No Yes Yes No No Yes Yes No Yes No No Yes Yes Yes No Yes Yes No Yes Yes No Yes Yes Yes No No Yes No Yes No Yes No Yes Yes Yes Yes No No Yes No Yes Yes No Yes Yes No No Yes Yes Yes No Yes No No No Yes Yes No No No Yes No No No Yes Yes No Yes No Yes Yes No Yes No No No No No Yes Yes No No No Yes No Yes No Yes No No Yes No No No No No No No No Yes No Yes No No No No No No No Yes No No No No Yes No Yes No No No No Yes No No No No Yes No No Yes No No No No Yes Yes No Yes No Yes Yes No No Yes Yes Yes No No No Yes No Yes No No No No Yes Yes Male Male Female Male Female Female Female Female Female Female Female Male Male Male Female Male Male Male Male Male Female Male Male Male Female Female Male Female Female Male Male Female Male Female Male Male Male Female Female Female Female Female Male Female Female Female Female Female Female Male Male Male Female Female Female Male Female Male Female Male Female Female Male Male Female Female Female Male Male Female Female Male Female Male Male Female Male Female Male Male Female Female Male Female Female 69 68 60 68.5 63 65 64 65 62 64 68 64 72 73 68 72 71 73 64 69 68 74 70 67 65 68 70 63 62 70 68 63 66 60 74 70 73 63 64 66 66 64 71 62 62 65 65 70 63 72 73 71 64.5 62 66 68.9 67 74 63 69 63 64 69 75 66 54 69 64 74 65 67 69 67 70 66.3 68 68 65 72 64 70 70 63 65 11 9.5 6 10.5 8.5 10 8 8.5 6 6.5 9 8.5 11.5 12 11 13 14 11.5 13 9.5 9 12 10.5 10 8 9 12 8 5.5 12 10 7 9 6 12 11 10 7.5 9 8 7.5 7 12 8 7 7 9 10 11 10.5 11 8 6 6.5 11 9.5 9.5 6 9.5 6 9 11 12 6 8 8 8.5 11 10 10 9 8 11 12 9.5 12 10 10 11.5 8.5 9 10 7 8 Yes No Yes No Yes Yes No No No No No No No Yes Yes No Yes No Yes Yes Yes No No Yes Yes Yes No Yes No No Yes No Yes Yes No No No No Yes No No No No No Yes Yes No Yes Yes Yes No No No Yes No Yes No No No No No No No No No No No No No Yes No No No No No No Yes No Yes No Yes Yes No No Yes Yes Yes Yes No Yes No Yes No No Yes No Yes Yes No Yes Yes Yes Yes No Yes Yes Yes No No Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes No Yes Yes Yes Yes Yes Yes No Yes No Yes Yes Yes Yes Yes No Yes Yes Yes Yes Yes No Yes Yes Yes Yes Yes Yes No No Yes Yes No Yes Yes No Yes Yes No Yes Yes Yes No Yes Yes No No Yes Yes Yes 5 0 0 0 3 0 1 0 10 1 0 0 1 0 0 4 2 4 2 1 1 0 0 1 8 1 0 2 1 2 0 0 4 3 3 1 1 0 1 1 0 1 0 0 0 0 0 0 2 0 0 2 0 0 0 0 2 0 0 1 0 2 2 0 0 2 4 1 1.5 2 0 2 3 2 0 1 4 0 2 0 0 0 1 0 0 3 1 3 14 3.5 0 3 0 0 2 0 0 11 1.5 5 10 16 3 7 5 4 10 0 5 4 4 0 5 3 7 4 10 6 0 7 3 0 1 5 8 6 3 0 4 0 8 0 5 4 6 6 8 1 3 0 6 3 12 6 0 1 1 8 35 0 5 5 6 10 1 0 7 5 2 6 7 0 3 2 15 1 2 10 2 4 1 4 10 7 1 60 2 0 4 4 5 7 10 25 10 5 5 0 12 4 3 9 20 15 6 3 2 5 6 4 10 14 3 10 5 5 8 2 2 10 2 1 10 10 10 2 40 5 8 2 2 20 8 3 0 10 3 4 25 10 2 0 15 5 2 9 10 12 5 0 24 10 5 12 20 15 12 5 4 10 5 10 1 20 10 1 2 2 1 2 1 1 1 1 2 1 1 2 1 1 1 1 1 1 1 2 2 1 1 1 2 1 1 2 1 1 1 2 1 3 1 1 1 1 1 1 1 1 1 1 4 1 1 2 1 1 2 2 1 2 2 1 2 1 1 2 1 1 1 2 1 1 1 2 1 1 2 1 1 1 1 1 1 1 2 1 1 3 1 1 Ice hockey Ice hockey Curling Ice hockey Figure skat Figure skat Figure skat Ice 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0 0 8 8 7.5 5 0 0 7 2 10 5 1 4 5 10 4 15 13 5 6 3 1 5 4 0 15 1.5 5 7 5 0 2 5 5 1.5 0 0 0 7 10 0 2 9 5 10 15 0 10 2 5 0 0 0 5 4 14 25 0 2 5 5 21 12 10 4 4 10 5 24 5 12 0 6 8 10 10 1 6 4 1 2 12 15 15 4 3 7 0 2 12 15 4 10 3 10 14 10 6 7 10 3 3 2 3 15 8 3 3 12 3 14 1 25 6 10 0 14 12 12 12 10 0 12 10 3 25 7 5 3 10 5 10 18 0 2 10 2 5 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 2 1 1 2 3 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 2 3 1 1 1 1 1 1 1 Ice hockey Figure skat Ice hockey Ice hockey Figure skat Ice hockey Ice hockey Figure skat Figure skat Figure skat Ice hockey Ice hockey Ice hockey Ice hockey Figure skat Figure skat Ice hockey Curling Figure skat Ice hockey Ice hockey Figure skat Figure skat Figure skat Ice hockey Figure skat Ice hockey Ice hockey Figure skat Ice hockey Ice hockey Figure skat Ice hockey Ice hockey Ice hockey Ice hockey Ice hockey Ice hockey Figure skat Ice hockey Ice hockey Ice hockey Figure skat Ice hockey 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Male Male 62 48 61 64 69 71 75 67 66 70 70 6 6 6 8 8.5 8.5 9 11.5 9.5 6.5 12 11 Yes No No No Yes Yes No No Yes No No Yes Yes Yes Yes Yes Yes No Yes Yes Yes Yes Yes Yes 2 4 0 4 0 0 0 6 0 0 0 2 1 3 0 4 12 0 2 2 7 0 5 4 10 4 10 10 20 8 4 1 14 5 4 10 1 3 1 1 2 1 1 1 1 1 1 1 Figure skat Figure skat Figure skat Ice hockey Ice hockey Figure skat Curling Figure skat Figure skat Ice hockey Ice hockey Ice hockey 25 35 25 28 27 28 26 19 25 25 28 28 iage Age Lesson 11: Associations between Categorical Variables NAME STAT 200 Answer the following questions showing all work. For questions that require Minitab Express, include the appropriate output (copy + paste) along with an explanation. For all tests use an alpha level of .05 unless otherwise specified. 1. For each scenario, which statistical procedure is most appropriate (one sample mean, one sample proportion, two independent proportions, two independent means, two paired/dependent means, one-way ANOVA, chisquare test of independence)? Explain why. A. The honors college at one large university wants to know if their accepted students have an average IQ that is higher than the known national average of 100. One sample mean test would be used here because the it is one group that you are discussing. B. A team of World Campus advisors wants to know if there is a relationship in the population of all World Campus STAT200 students between using Penn State Learning's free online tutoring services and passing STAT200. We would use the Chi-square test of independence because you have two hypothesis that we would want to be testing. C. A group of political science students wants to know if there is a relationship between whether someone is registered to vote or not and their level of education. They take a sample of 200 people and ask if they are registered to vote (yes or no) and ask for their level of education (no college degree, college degree). We would use the Chi-square test of independence because the two levels of education are independent of each other. D. A preschool teacher wants to know if four-year-old boys and girls differ in terms of whether or not they like superheroes. He takes a representative sample of 30 preschool students, records each child's gender, and asks if they like superheroes (yes/no). We would use the one sample proportion test because we are comparing the population proportion of preschool students who like superheroes. Lesson 11: Associations between Categorical Variables NAME STAT 200 E. Food scientists want to know if there is a relationship between whether or not a child likes licorice and whether or not the child's mother likes licorice. They take a sample of 50 child-mother pairs and ask each individual if they like licorice (yes/no). We would use the chi-square test of independence. We are comparing the relationship between whether or not the child likes licorice. F. A team of sleep scientists wants to know if there is a relationship between biological sex and whether or not an individual has sleep apnea. They take a sample of 500 individuals and record their biological sex (male/female) and if they have sleep apnea (yes/no). We would use the chi-square test of indepence because we are comparing if there is a relationship between biological sex has anything to do with sleep apnea. G. An admissions counselor at a technical college wants to know if there is a relationship between gender (man/woman) and students' intended major area (computer science, automotive mechanics, culinary arts, cosmetology). We would use chi square test of independence. This would be because we are looking at the relationship between gender and students intended major area. H. A group of psychology students wants to compare the anxiety levels of test takers who are given a dog, cat, or teddy bear to pet. They take a sample of 120 introductory psychology students. Participants are randomly assigned to one of the three treatment conditions (dog, cat, teddy bear). After the testing sessions the experimenters administer an anxiety survey to each participant. Scores on the anxiety scale are quantitative. We would use one way ANOVA because the mean is differ than 0. Lesson 11: Associations between Categorical Variables NAME STAT 200 2. According to http://espn.go.com/college-football/team/fpi/_/id/213/pennstate-nittany-lions (as of November 3, 2015) the probability that Penn State will win the football game against Michigan is 39.4%. The probability that Penn State will win the football game against Michigan State is 23.0%. A. What are the odds that Penn State will beat Michigan? 0.376/0.606= 197/303 B. What are the odds that Penn State will beat Michigan State? 0.23/0.77= 23/77 C. What is the odds ratio for Penn State beating Michigan compared to beating Michigan State? 0.65/0.30= 65/30 65/30=13/6 The odds ratio would be 13:6 D. How would you explain the odds ratio that you calculated in part C to a friend with no knowledge of statistics? The probability of winning the game against Michigan is twice compared to Michigan state. Lesson 11: Associations between Categorical Variables NAME STAT 200 3. Use the file SP16STUDENTDATA.MTW to answer the following questions. A. Construct a contingency table of biological sex and preferred winter sport. B. What proportion of females prefer figure skating. C. What proportion of males prefer figure skating? D. What is the \"relative risk\" of preferring figure skating for females compared to males? E. How would you interpret the value that you computed in part D for a friend with no knowledge of statistics? F. Conduct a chi-square test of independence to determine if there is evidence of a relationship between biological sex and preferred winter sport in the population. Assume that this sample is representative of the population of all World Campus students. Use the five-step hypothesis testing procedure labeling each of your steps. Step 1: Step 2: Lesson 11: Associations between Categorical Variables NAME Step 3: Step 4: Step 5: STAT 200 Lesson 11: Associations between Categorical Variables NAME STAT 200 4. Use the file SP16STUDENTDATA.MTW to answer the following questions. Assume that this sample is representative of the population of all World Campus students. A team of researchers wants to know if there is a relationship between biological sex and dieting in the population of World Campus students. A. Conduct a chi-square test of independence to determine if there is a statistically significant relationship between biological sex and dieting in the population. Use the five-step hypothesis testing procedure labeling each of your steps. Step 1: Step 2: Step 3: Step 4: Step 5: B. What proportion of females in this sample were dieting? C. What proportion of males in this sample were dieting? D. Compute a relative risk ratio comparing females to males in terms of dieting. Lesson 11: Associations between Categorical Variables NAME STAT 200 E. Pretend that you are writing a report for the team that is conducting this research. Using your results from parts A through D, write a paragraph that explains your findings. Discuss both your inferential findings from part A and your descriptive findings from parts B, C, and D. It is expected that you will need 60-100 words to do this well. Lesson 11: Associations between Categorical Variables NAME STAT 200 Answer the following questions showing all work. For questions that require Minitab Express, include the appropriate output (copy + paste) along with an explanation. For all tests use an alpha level of .05 unless otherwise specified. 1. For each scenario, which statistical procedure is most appropriate (one sample mean, one sample proportion, two independent proportions, two independent means, two paired/dependent means, one-way ANOVA, chisquare test of independence)? Explain why. A. The honors college at one large university wants to know if their accepted students have an average IQ that is higher than the known national average of 100. One sample mean test would be used here because the it is one group that you are discussing. B. A team of World Campus advisors wants to know if there is a relationship in the population of all World Campus STAT200 students between using Penn State Learning's free online tutoring services and passing STAT200. We would use the Chi-square test of independence because you have two hypothesis that we would want to be testing. C. A group of political science students wants to know if there is a relationship between whether someone is registered to vote or not and their level of education. They take a sample of 200 people and ask if they are registered to vote (yes or no) and ask for their level of education (no college degree, college degree). We would use the Chi-square test of independence because the two levels of education are independent of each other. D. A preschool teacher wants to know if four-year-old boys and girls differ in terms of whether or not they like superheroes. He takes a representative sample of 30 preschool students, records each child's gender, and asks if they like superheroes (yes/no). We would use the one sample proportion test because we are comparing the population proportion of preschool students who like superheroes. Lesson 11: Associations between Categorical Variables NAME STAT 200 E. Food scientists want to know if there is a relationship between whether or not a child likes licorice and whether or not the child's mother likes licorice. They take a sample of 50 child-mother pairs and ask each individual if they like licorice (yes/no). We would use the chi-square test of independence. We are comparing the relationship between whether or not the child likes licorice. F. A team of sleep scientists wants to know if there is a relationship between biological sex and whether or not an individual has sleep apnea. They take a sample of 500 individuals and record their biological sex (male/female) and if they have sleep apnea (yes/no). We would use the chi-square test of indepence because we are comparing if there is a relationship between biological sex has anything to do with sleep apnea. G. An admissions counselor at a technical college wants to know if there is a relationship between gender (man/woman) and students' intended major area (computer science, automotive mechanics, culinary arts, cosmetology). We would use chi square test of independence. This would be because we are looking at the relationship between gender and students intended major area. H. A group of psychology students wants to compare the anxiety levels of test takers who are given a dog, cat, or teddy bear to pet. They take a sample of 120 introductory psychology students. Participants are randomly assigned to one of the three treatment conditions (dog, cat, teddy bear). After the testing sessions the experimenters administer an anxiety survey to each participant. Scores on the anxiety scale are quantitative. We would use one way ANOVA because the mean is differ than 0. Lesson 11: Associations between Categorical Variables NAME STAT 200 2. According to http://espn.go.com/college-football/team/fpi/_/id/213/pennstate-nittany-lions (as of November 3, 2015) the probability that Penn State will win the football game against Michigan is 39.4%. The probability that Penn State will win the football game against Michigan State is 23.0%. A. What are the odds that Penn State will beat Michigan? 0.376/0.606= 197/303 B. What are the odds that Penn State will beat Michigan State? 0.23/0.77= 23/77 C. What is the odds ratio for Penn State beating Michigan compared to beating Michigan State? 0.65/0.30= 65/30 65/30=13/6 The odds ratio would be 13:6 D. How would you explain the odds ratio that you calculated in part C to a friend with no knowledge of statistics? The probability of winning the game against Michigan is twice compared to Michigan state. Lesson 11: Associations between Categorical Variables NAME STAT 200 3. Use the file SP16STUDENTDATA.MTW to answer the following questions. A. Construct a contingency table of biological sex and preferred winter sport. B. What proportion of females prefer figure skating. The proportion is 159 =0. 5521 288 C. What proportion of males prefer figure skating? The proportion is 19 =0.0819 232 D. What is the \"relative risk\" of preferring figure skating for females compared to males? RR= a/( a+b) c /(c +d ) RR= 159 /288 =6.74123 19 /232 E. How would you interpret the value that you computed in part D for a friend with no knowledge of statistics? Lesson 11: Associations between Categorical Variables NAME STAT 200 This means that the risk of a female preferring skating is 6.714123 times more than that of males F. Conduct a chi-square test of independence to determine if there is evidence of a relationship between biological sex and preferred winter sport in the population. Assume that this sample is representative of the population of all World Campus students. Use the five-step hypothesis testing procedure labeling each of your steps. Step 1: H0: there is no significant relationship between biological sex and preferred winter Ha: There is relationship between biological sex and preferred winter Step 2: Level of significant, =0.05 Step 3: Decision rule: Reject H0 if P value<0.05 Step 4: test Statistics Step 5: Since 0.0001<0.05, we reject H0 and conclude that there is significant relationship between biological sex and preferred winter at 5% level of significance Lesson 11: Associations between Categorical Variables NAME STAT 200 Lesson 11: Associations between Categorical Variables NAME STAT 200 4. Use the file SP16STUDENTDATA.MTW to answer the following questions. Assume that this sample is representative of the population of all World Campus students. A team of researchers wants to know if there is a relationship between biological sex and dieting in the population of World Campus students. A. Conduct a chi-square test of independence to determine if there is a statistically significant relationship between biological sex and dieting in the population. Use the five-step hypothesis testing procedure labeling each of your steps. Step 1: H0: Biological sex and dieting in the population are not significantly related. Ha: Biological sex and dieting in the population are significantly related. Step 2: Level of significant =0.05 Step 3: Decision rule: Reject H0 if P value<0.05 Step 4: Test statistics Step 5: Decision and conclusion: Since p-value>0.05, we fail to reject H0 and conclude that there is no statistically significant relationship between biological sex and dieting in the population B. What proportion of females in this sample were dieting? Lesson 11: Associations between Categorical Variables NAME Proportion of dieting females= STAT 200 111 =0.38514 288 C. What proportion of males in this sample were dieting? Proportion of dieting males= 67 =0.28633 234 D. Compute a relative risk ratio comparing females to males in terms of dieting. RR= 0.38514 0.28633 = 1.346 E. Pretend that you are writing a report for the team that is conducting this research. Using your results from parts A through D, write a paragraph that explains your findings. Discuss both your inferential findings from part A and your descriptive findings from parts B, C, and D. It is expected that you will need 60-100 words to do this well. The research was done to compare the proportion of males and female that was dieting. A random sample of 288 female and 234 males was used. Among female 111 responded they were dieting and 177 responded they were not dieting. One did not respond. Among males, 67 were dieting and the rest were not dieting. It was found that the proportion of female who responded yes=0.385142 was higher as compared to the proportion of males who responded yes which was 0.286325. Furthermore, the researcher found that the relative risk of dieting females was 1.3461 times as compared to that of dieting males. It was further found that there was no statistically significant relationship between biological sex and dieting in the population

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