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
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 13PT
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