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APPENDIX TABLE LINK : https://www.webassign.net/mendstat15/mendstat15_appendix_tables.pdf

Q14A

No matter the make or model of a new vehicle, white and silver/gray continue to make the top five or six colors across all categories. The top six colors and their percentage of the market share for compact/sports cars are shown in the following table.

Color Silver Black Gray Blue Red White Percent 14 21 17 09 11 21 To verify the figures, a random sample consisting of 250 compact/sports cars was taken and the color of the vehicles recorded. The sample provided the following counts for the categories given above: 39, 54, 38, 19, 22, 52, respectively. (a) Is any category missing in the classification? Yes No How many vehicles belong to that category? (If there are no categories missing, enter NONE.) (b) Is there sufficient evidence to indicate that our percentages of the colors for compact/sports cars differ from those given? (Use a = 0.05.) State the null and alternative hypotheses. C Ho: At least one p; is different from Ha: P1 = p2 = p3 = p4 = ps = p6 = p7 = C Ho: p1 = 0.14; p2 = 0.21; p3 = 0.17; p4 = 0.09; ps = 0.11; p6 = 0.21; p7 = 0.07 Ha: No value of pi is the same as its specified value. Ho: p1 = p2 = p3 = p4 = p5 = p6 = p7 = Ha: At least one pi is different fromHo: p1 = 0.14; p2 = 0.21; p3 = 0.17; p4 = 0.09; ps = 0.11; p6 = 0.21; p7 = 0.07 Ha: At least one pi is different from the specified value. Ho: At least one pi is different from the specified value. Ha: P1 = 0.14; p2 = 0.21; p3 = 0.17; p4 = 0.09; p5 = 0.11; p6 = 0.21; p7 = 0.07 Find the test statistic. (Round your answer to two decimal places.) X2 = 1 Find the approximate p-value for the test. p-value 0.100 State your conclusion. Since the p-value is less than 0.05, Ho is rejected. There is sufficient evidence to suggest a difference from the given percentages. Since the p-value is greater than 0.05, Ho is rejected. There is insufficient evidence to suggest a difference from the given percentages. C Since the p-value is less than 0.05, Ho is not rejected. There is sufficient evidence to suggest a difference from the given percentages. Since the p-value is greater than 0.05, Ho is not rejected. There is insufficient evidence to suggest a difference from the given percentages. You may need to use the appropriate appendix table or technology to answer this question. 6. [-/2 Points] MendStat15 14.R.010. The prevalence and patterns of knee injuries among women collegiate rugby players were investigated using a sample questionnaire, to which 49 rugby clubs responded. A total of 86 knee injuries were classified by type as well as the position (forward or back) of the player. Type of Knee Injury Meniscal MCL ACL Patella PCL Position Tear Tear Tear Dislocation Tear Forward 13 16 7 2 Back 12 11 14 2 Chi-Square Test for Association: Position, Injury Rows: Position Columns: Injury Meniscal Tear MCL Tear ACL Tear Patella PCL Tear All Forward 13 16 2 12.50 13.50 10.50 4.50 2.00 43Back 12 11 14 4 2 12.50 2.00 43 13.50 10.50 4.50 All 25 27 21 9 4 86 Cell Contents Count Expected count Chi-Square Test Chi-Square DF P-Value Pearson 3.410 4 0.492 Likelihood Ratio 3.461 4 0.484 4 cell(s) with expected counts less than 5. (a) Use the MINITAB printout to determine whether there is a difference in the distribution of injury types for rugby backs and forwards. (Use a = 0.05. Use the exact values found in the MINITAB output.) State the null and alternative hypothesis. C Ho: Injury type and player position do no exhibit a linear association. Ha: Injury type and player position exhibit a linear association. Ho: Injury type and player position exhibit a linear association. Ha: Injury type and player position do not exhibit a linear association. Ho: Injury type and player position are independent. Ha: Injury type and player position are dependent. Ho: Injury type and player position are dependent. Ha: Injury type and player position exhibit a do not linear association. Ho: Injury type and player position are dependent. Ha: Injury type and player position are independent. Report the appropriate p-value. State your conclusions. Ho is not rejected. There is sufficient evidence to indicate injury type and player position are dependent. Ho is not rejected. There is insufficient evidence to indicate injury type and player position are dependent. Ho is rejected. There is insufficient evidence to indicate injury type and player position are dependent. Ho is rejected. There is sufficient evidence to indicate injury type and player position are dependent.Have any of the assumptions necessary for the chi-square test been violated? What effect will this have on the magnitude of the test statistic? (II. Yes, the assumption of multinomial experiment conditions being met has been violated. This . . . If" . . . has no effect on the magnitude of the test statistic. Yes, the assumption of multmomial experiment conditions being met has been violated. This increases the size of the test . . f' . . . statistic. Yes, the assumption of expected cell counts exceeding ve has been Violated. . . . . . If\" . This increases the Size of the test statistic. Yes, the assumption of expected cell counts exceeding ve has been violated. This decreases the size of the test statistic. F No assumptions have been violated. (b) The investigators report a significant difference in the proportion of MCL tears for the two positions (P State your conclusion. Ho is rejected. There is sufficient evidence to indicate that susceptibility to colds is affected by the number of relationships you have. Ho is not rejected. There is sufficient evidence to indicate that susceptibility to colds is affected by the number of relationships you have. Ho is not rejected. There is insufficient evidence to indicate that susceptibility to colds is affected by the number of relationships you have. Ho is rejected. There is insufficient evidence to indicate that susceptibility to colds is affected by the number of relationships you have. (b Based on the results of part (a), describe the nature of the relationship between the two categorical variables: cold incidence and number of social relationships. Do your observations agree with the author's conclusions? As the number of relationships increases, it appears that the susceptibility to a cold seems to which with the author's conclusions. You may need to use the appropriate appendix table to answer this question. 8. [-/2 Points] MendStat15 14.R.013.S. A criminologist studying criminal offenders who have a record of one or more arrests is interested in knowing whether the educational achievement level of the offender influences the frequency of arrests. He has classified his data using four educational level classifications.. A: completed 6th grade or less B: completed 7th, 8th, or 9th grade . . C: completed 10th, 11th, or 12th grade D: education beyond 12th grade The contingency table shows the number of offenders in each educational category, along with the number of times they have been arrested. Educational Achievement Number of Arrests B C D 54 41 44 31 14 24 17 21 3 or More 8 7 11 11 LA USE SALT Do the data present sufficient evidence to indicate that the number of arrests is dependent on the educational achievement of a criminal offender? Test using a = 0.05. State the null and alternative hypotheses. C Ho: Number of arrests and educational achievement are independent. Ha: Number of arrests and educational achievement are dependent. Ho: Number of arrests and educational achievement are independent. Ha: Number of arrests and educational achievement are linearly related. Ho: Number of arrests and educational achievement are dependent. Ha: Number of arrests and educational achievement are independent. Ho: The numbers of people in each educational achievement category are equal. Ha: The numbers of people in each educational achievement category are not equal. Ho: Number of arrests and educational achievement are linearly related. Ha: Number of arrests and educational achievement are independent. Find the test statistic. (Round your answer to two decimal places.) X2 = 1 Find the rejection region (Round your answer to two decimal places.) X2 > State your conclusion. C Ho is rejected. There is sufficient evidence to conclude that the number of arrests is dependent on the educational achievement of the criminal offender. Ho is not rejected. There is insufficient evidence to conclude that the number of arrests is dependent on the educational achievement of the criminal offender. Ho is rejected. There is insufficient evidence to conclude that the number of arrests is dependent on the educational achievement of the criminal offender. Ho is not rejected. There is sufficient evidence to conclude that the number of arrests is dependent on the educational achievement of the criminal offender.You may need to use the appropriate appendix table to answer this question. 9. [-/2 Points] MendStat15 14.R.501.XP. A freeway with four lanes in each direction was studied to see whether drivers prefer to drive on the inside lanes. A total of 1,000 automobiles were observed during heavy early-morning traffic, and the number of cars in each lane was recorded. Lane 1 2 3 4 Observed Count 297 272 237 194 Do the data present sufficient evidence to indicate that some lanes are preferred over others? Test using a = 0.05. State the null and alternative hypotheses. C Ho: At least one pi is different from Ha: P1 = p2 = p3 = p4 = 1 Ho: At least one p; is different from 0. Ha: p1 = p2 = p3 = p4 = 0 Ho: p1 = p2 = p3 = p4 = 1 Ha: At least one pi is different from 1. C Ho: p1 = p2 = p3 = p4 = 0 Ha: At least one pi is different from 0. Ho: P1 = p2 = p3 = p4 = 1 Ha: At least one pi is different fromA Find the test statistic. X2 = Find the rejection region. (Round your answer to three decimal places.) X2 > State your conclusion. Ho is not rejected. There is sufficient evidence to indicate a difference in preference for the four lanes. Ho is not rejected. There is insufficient evidence to indicate a difference in preference for the four lanes. Ho is rejected. There is insufficient evidence to indicate a difference in preference for the four lanes. Ho is rejected. There is sufficient evidence to indicate a difference in preference for the four lanes. If there are any differences, discuss the nature of the differences. There a difference in preference for the four lanes. They seem to You may need to use the appropriate appendix table or technology to answer this question. 10. [-/2 Points] MendStat15 14.R.006.S. A team of researchers investigated the level of preparation of economics graduate students for their teaching-related duties for students at "top-tier" and those at "second-tier" schools. The responses to the question "Are you satisfied with the level of preparation you have had for your teaching-related duties?" follow. Top-Tier Second-Tier I am very satisfied 87 198 I am somewhat satisfied 103 170 I am unsatisfied 23 30 Total 213 398 In USE SALT (a) Is there a significant difference in the responses to the question between students at "top-tier" schools compared to those at "second-tier" schools? (Use a = 0.05.) State the null and alternative hypotheses.Ho: Satisfaction and tier of school are independent. Ha: Satisfaction and tier of school are dependent. " Ho: Satisfaction and tier of school are linearly related. Ha: Satisfaction and tier of school are dependent. Ho: Satisfaction and tier of school are independent. Ha: Satisfaction and tier of school are linearly related. Ho: Satisfaction and tier of school are equal. Ha: Satisfaction and tier of school are not equal. Ho: Satisfaction and tier of school are dependent. Ha: Satisfaction and tier of school are independent. Find the test statistic. (Round your answer to two decimal places.) X2 = 1 Find the rejection region. (Round your answer to two decimal places.) X2 > State your conclusion. C Ho is rejected. There is sufficient evidence to conclude that there is a significant difference in the responses to the question between students at the two types of schools. Ho is not rejected. There is sufficient evidence to conclude that there is a significant difference in the responses to the question between students at the two types of schools. Ho is rejected. There is insufficient evidence to conclude that there is a significant difference in the responses to the question between students at the two types of schools. " Ho is not rejected. There is insufficient evidence to conclude that there is a significant difference in the responses to the question between students at the two types of schools. (b) If significant, describe the nature of the differences in response for graduate students at "top-tier" versus "second-tier" schools. If you graduate at a "top-tier" school, it appears that you are more likely to be unsatisfied. C If you graduate at a "top-tier" school, it appears that you are more likely to be very satisfied. If you graduate at a "second-tier" school, it appears that you are more likely to be very satisfied. If you graduate at a "second-tier" school, it appears that you are more likely to be unsatisfied. There are no significant differences. You may need to use the appropriate appendix table to answer this