Random samples of 48 male students and 54 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 16 11 21 Female: 12 23 19 (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 not the same for males and females vs. Ha: the distribution of preference is 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 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 proportion of females is the same for each car preference vs. Ha: the proportion of females is not the same for each car preference (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 13.18 :Female 21.18(c) What is the test statistic value for this hypothesis test? (Round your answers to 2 decimal places, if needed.) (d) The test statistic follows a chi-square distribution with df = 100 c . (e) Using the statistical tabler the pvalue is p-value > 0.10 c . (f) Based on the p-value, those conducting the test should fail to reject 3 the null hypothesis at the significance level of 0.01. (9) What is the appropriate conclusion? 0 There is sufficient evidence to conclude the proportion of males is not the same for each car preference. 0 There is sufficient evidence to conclude there is no difference in males and females for car preference. 0 There is insufficient evidence to conclude there is a difference in males and females for car preference. 0 There is insufficient evidence to conclude the proportion of males is not the same for each car preference. 0 There is sufficient evidence to conclude there is a difference in males and females for car preference