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1D. [0.24f0.27 Points] PREVIOUS ANSWERS BBUNDERSTAT12 10.1.015.MI.S. ASK YOUR TEACHER PRACI'ICE ANOTHER Mr. Acosta, a sociologist, is doing a study to see if there is a relationship between the age of a young adult (18 to 35 years old) and the type of mowe preferred. A random sample of 93 adults revealed the folloWing data. Test whether age and type of movie preferred are independent at the 0.05 level. rum Drama Science Fiction Comedy Column Total o usrs (a) What is the level of significance? 0.05 .1 State the null and alternate hypotheses. @ H0: Age and movie preference are independent. H1: Age and movie preference are not independent. 0 H0: Age and movie preference are independent. H1: Age and movie preference are independent. 0 H0: Age and movie preference are not independent. H1: Age and movie preference are independent. 0 H0: Age and movie preference are not independent. H1: Age and movie preference are not independent. V (b) Find the value of the chiesquare statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three 4.015 x 5. [0.24/0.27 Points] DETAILS PREVIOUS ANSWERS BBUNDERSTAT12 10.1.009.S. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The following table shows the Myers-Briggs personality preferences for a random sample of 406 people in the listed professions. E refers to extroverted and I refers to introverted. Personality Type Occupation E I Row Total Clergy (all denominations) 59 48 107 M.D 67 95 162 Lawyer 54 83 137 Column Total 180 226 406 Rectangular Ship In USE SALT Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.05 level of significance. (a) What is the level of significance? 0.05 State the null and alternate hypotheses. O Ho: Myers-Briggs preference and profession are not independent H : Myers-Briggs preference and profession are independent. O Ho: Myers-Briggs preference and profession are independent H: Myers-Briggs preference and profession are independent. O Ho: Myers-Briggs preference and profession are not independent H: Myers-Briggs preference and profession are not independent. O Ho: Myers-Briggs preference and profession are independent H : Myers-Briggs preference and profession are not independent. Activate Windows (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)ctivate Windows. 6.832 X6. [0.24/0.27 Points] DETAILS PREVIOUS ANSWERS BBUNDERSTAT12 10.1.010.S. MY NOTES ASK YOUR TEACHER The following table shows the Myers-Briggs personality preferences for a random sample of 519 people in the listed professions. T refers to thinking and F refers to feeling. Personality Type Occupation F Row Total Clergy (all denominations) 58 90 148 M.D. 78 81 159 Lawyer 121 91 212 Column Total 257 262 519 In USE SALT Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.01 level of significance. (a) What is the level of significance? 0.01 State the null and alternate hypotheses. O Ho: Myers-Briggs preference and profession are not independent. H : Myers-Briggs preference and profession are independent. O Ho: Myers-Briggs preference and profession are not independent. H : Myers-Briggs preference and profession are not independent. O Ho: Myers-Briggs preference and profession are independent. H: Myers-Briggs preference and profession are not independent. O Ho: Myers-Briggs preference and profession are independent. H. : Myers-Briggs preference and profession are independent. Activat (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decima 14.220 X7. [0.241027 Points] I DETAILS PREVIOUS ANSWERS I BBUNDERSTAT12 10.1.0115. The following table shows site type and type of pottery for a random sample of 628 sherds at an archaeological location. l USE SALT (a) What is the level of significance? 0.01 ./ State the null and alternate hypotheses. @ H0: Site type and pottery are independent. 0 H0: Site type and pottery are not independent. 0 H0: Site type and pottery are independent. H1: Site type and pottery are independent. 0 Ha: Site type and pottery are not independent. H1: Site type and pottery are independent. H1: Slte type and pottery are not independent. H1: Site type and pottery are not independent. 0.464 x 8&1!" MmWh-_ Hmflr'mhite. _ 3| .. ""' -. BMW-Tm! _ Mesa Top 76 56 5? 189 CliffeTaEus 83 68 62 213 Canyon Bench 88 .65 73 226 Column Total 24? 189 192 628 Use a chiesquare test to determine if site type and pottery type are independent at the 0.01 level of signicance. I MY NOTES ASK YOURTEACHER PRACI'Ii Wind-C. (b) Find the value of the chisquare statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to threideCImaf HEcefT 8. [02410.27 Points] | DETAILS I PREVIOUSANSWERS l BBUNDERSTA'HZ10.1.012.MI.S. The following table shows ceremonial ranking and type of pottery sherd for a random sample of 434 sherds at an archaeological location. 0') I105 State the null and alternate hypotheses. A 91 44 135 B 97 4a 145 c 34 70 154 272 152 434 IE USE SALT Use a chisquare test to determine if ceremonial ranking and pottery type are independent at the 0.05 level of signicance. {3) What is the level of significance? 4/ O HO: Ceremonial ranking and pottery type are independent. H1: Ceremonial linking and pottery type are independent. 0 HI]: Ceremonial ranking and pottery type are not independent. H1: Ceremonial Ianking and pottery type are 0 HD: Ceremonial ranking and pottery type are not independent. H1: Ceremonial Ianking and pottery type are not independent. independent. 3 Ho: Ceremonial ranking and pottery type are independent. H1: Ceremonial Ianking and pottery type are not independent. I MY NOTES ASK YOUR TI Find the value of the chisquare statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.) 5,575 X 9. [0.241027 Points] PREVIOUS ANSWERS BBUNDERSTAT12 10.1.0135. The followmg table shows age distribution and location of a random sample of 166 buffalo in a national park. Age: ' Lamar Bistct \"32m 'lstct ' Firmle District In" Total calf 1 7 14 1a 41 Ye" 11 11 11 33 Adult . 37 30 25 92 Column Total 55 55 45 166 m USE SAL (a) what is the level of Significance? 0,05 4- State the null and alternate hypotheses. H0: Age distribution and location are independent. H1: Age distribution and location are not independent. 0 H0: Age distribution and location are not independent. H1: Age distribution and location are independent. 0 H0: Age distribution and location are independent. H1: Age distribution and location are independent. 0 H0: Age distribution and location are not independent. H1: Age distribution and location are not independent. I (b) Find the value of the chisquare statistic for the sample. (Round the expected frequenCIes to at least three decimal places. Round the test statistic to thi'eeiiie'grl'glz pl 6,478 3' Use a chi-square test to determine if age distribution and location are independent at the 0.05 level of signicance. ASKYOUR TEACHER PRACTIl Rah/(He Windo lkll 10. [4.31539 Points] PREVIOUS ANSWERS BBUNDERSTAT12 10.2.011.MI.5. ASK YOUR TEACHER The Fish and Game Dejartment stocked a lake with sh in the following proportions: 30% catfish, 15% bass, 40% bluegill, and 15% pike. Five years laterit sampled the lake to see if the distribution of sh had changed. It found that the 500 fish in the sample were dJstributed as follows. mm rag-as rat's-ego": hike-I 124 91 215 69 1e USE SA In the Siyear interval, did the distribution of fish change at the 0.05 level? (a) what is the level of significance? 005 State the null and alternate hypothesesl O H0: The distributions are different. H1: The distributions are the same. 0 H0: The distributions are the same. H1: The distributions are the same. Q HD'. The distributions are the same. H1: The distributions are different. 0 HD: The distributions are different. H1: The distributions are different. V {b} Find the value of the chi-square statistic for the sample. (Round your answer to three decimal places.) 9 730 x
