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Random samples of 53 male students and 48 female students at the U of A were asked to state their car preference (American, European, and Japanese). The resulting frequencies are shown in the following table. Is there enough evidence to conclude a difference in car preference between males and females? American European Japanese; 23 15 ++ Male 15 ------ Female 13 **********... (a) In performing this statistical test, state the hypotheses. O Ho: the proportion of males is the same for each car preference vs. Ha: the proportion of males is not the same for each car preference O Ho: the distribution of preference is the same for males and females vs. Ha: the distribution of preference is not the same for males and females O Ho: the distribution of gender is not the same for each car preference vs. Ha: the distribution of gender is the same for each car preference O Ho: the proportion of females is the same for each car preference vs. Ha: the proportion of females is not the same for each car preference O Ho: the distribution of preference is not the same for males and females vs. Ha: the distribution of preference is the same for males and females (b) What is the expected frequencies of each cell? Fill out the table. (Round your answers to 2 decimal places, if needed.) ----------- 15 20 Male 14.69 Female: ...... American European Japanese; ^^^^^*………………… 18.06 What is the test statistic value for this hypothesis test? (Round your answers to 2 decimal places, if needed.) TS= Check (d) The test statistic follows a chi-square distribution with df = 6 + (e) Using the statistical table, the p-value is 0.05

Random samples of 53 male students and 48 female students at the U of A were asked to state their car preference (American, European, and Japanese). The resulting frequencies are shown in the following table. Is there enough evidence to conclude a difference in car preference between males and females? American European Japanese; 23 15 ++ Male 15 ------ Female 13 **********... (a) In performing this statistical test, state the hypotheses. O Ho: the proportion of males is the same for each car preference vs. Ha: the proportion of males is not the same for each car preference O Ho: the distribution of preference is the same for males and females vs. Ha: the distribution of preference is not the same for males and females O Ho: the distribution of gender is not the same for each car preference vs. Ha: the distribution of gender is the same for each car preference O Ho: the proportion of females is the same for each car preference vs. Ha: the proportion of females is not the same for each car preference O Ho: the distribution of preference is not the same for males and females vs. Ha: the distribution of preference is the same for males and females (b) What is the expected frequencies of each cell? Fill out the table. (Round your answers to 2 decimal places, if needed.) ----------- 15 20 Male 14.69 Female: ...... American European Japanese; ^^^^^*………………… 18.06 What is the test statistic value for this hypothesis test? (Round your answers to 2 decimal places, if needed.) TS= Check (d) The test statistic follows a chi-square distribution with df = 6 + (e) Using the statistical table, the p-value is 0.05

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 13PT
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Random samples of 53 male students and 48 female students at the U of A were asked to state their car preference (American, European, and Japanese). The resulting frequencies are shown in the following table. Is there enough evidence t preference between males and females? M 15 + **** ¡Female; 13 American;European Japanese; +++ ! 23 15 ------ Male (a) In performing this statistical test, state the hypotheses. O Ho: the proportion of males is the same for each car preference vs. Ha: the proportion of males is not the same for each car preference O Ho: the distribution of preference is the same for males and females vs. Ha: the distribution of preference is not the same for males and females O Ho: the distribution of gender is not the same for each car preference vs. Ha: the distribution of gender is the same for each car preference O Ho: the proportion of females is the same for each car preference vs. Ha: the proportion of females is not the same for each car preference O Ho: the distribution of preference is not the same for males and females vs. Ha: the distribution of preference is the same for males and females (b) What is the expected frequencies of each cell? Fill out the table. (Round your answers to 2 decimal places, if needed.) 15 14.69 ------- ----------+-- Female * ➖➖➖➖➖➖➖➖ 20 American European Japanese 18.06 (c) What is the test statistic value for this hypothesis test? (Round your answers to 2 decimal places, if needed.) TS = Check (d) The test statistic follows a chi-square distribution with df = 6 + (e) Using the statistical table, the p-value is 0.05 <p-value < 0.10 (f) Based on the p-value, those conducting the test should fail to reject the null hypothesis at the significance level of 0.025. (g) What is the appropriate conclusion? O There is insufficient evidence to conclude there is a difference in males and females for car preference. There is insufficient evidence to conclude the proportion of males is not the same for each car preference. There is sufficient evidence to conclude there is a difference in males and females for car preference. O There is sufficient evidence to conclude the proportion of males is not the same for each car preference. O There is sufficient evidence to conclude there is no difference in males and females for car preference. conclude a difference in car
Transcribed Image Text:Random samples of 53 male students and 48 female students at the U of A were asked to state their car preference (American, European, and Japanese). The resulting frequencies are shown in the following table. Is there enough evidence t preference between males and females? M 15 + **** ¡Female; 13 American;European Japanese; +++ ! 23 15 ------ Male (a) In performing this statistical test, state the hypotheses. O Ho: the proportion of males is the same for each car preference vs. Ha: the proportion of males is not the same for each car preference O Ho: the distribution of preference is the same for males and females vs. Ha: the distribution of preference is not the same for males and females O Ho: the distribution of gender is not the same for each car preference vs. Ha: the distribution of gender is the same for each car preference O Ho: the proportion of females is the same for each car preference vs. Ha: the proportion of females is not the same for each car preference O Ho: the distribution of preference is not the same for males and females vs. Ha: the distribution of preference is the same for males and females (b) What is the expected frequencies of each cell? Fill out the table. (Round your answers to 2 decimal places, if needed.) 15 14.69 ------- ----------+-- Female * ➖➖➖➖➖➖➖➖ 20 American European Japanese 18.06 (c) What is the test statistic value for this hypothesis test? (Round your answers to 2 decimal places, if needed.) TS = Check (d) The test statistic follows a chi-square distribution with df = 6 + (e) Using the statistical table, the p-value is 0.05 <p-value < 0.10 (f) Based on the p-value, those conducting the test should fail to reject the null hypothesis at the significance level of 0.025. (g) What is the appropriate conclusion? O There is insufficient evidence to conclude there is a difference in males and females for car preference. There is insufficient evidence to conclude the proportion of males is not the same for each car preference. There is sufficient evidence to conclude there is a difference in males and females for car preference. O There is sufficient evidence to conclude the proportion of males is not the same for each car preference. O There is sufficient evidence to conclude there is no difference in males and females for car preference. conclude a difference in car
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