Random samples of 54 male students and 53 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 Male 19 11 24 Female 13 20 20 (a) In performing this statistical test, state the hypotheses. 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 the same for males and females vs. HA: the distribution of preference is not the same for males and females O Họ: the proportion of males is the same for each car preference vs. HẠ: the proportion of males 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.) American European Japanese Male 16.15 Female 21.79 (c) What is the test statistic value for this hypothesis test? (Round your answers to 2 decimal places, if needed.) TS =
Random samples of 54 male students and 53 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 Male 19 11 24 Female 13 20 20 (a) In performing this statistical test, state the hypotheses. 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 the same for males and females vs. HA: the distribution of preference is not the same for males and females O Họ: the proportion of males is the same for each car preference vs. HẠ: the proportion of males 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.) American European Japanese Male 16.15 Female 21.79 (c) What is the test statistic value for this hypothesis test? (Round your answers to 2 decimal places, if needed.) TS =
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 6E: List the sample space of each experiment. Tossing three coins
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