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...

Extracted text: 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 18 12 24 Female 18 (a) In performing this statistical test, state the hypotheses. O Họ: 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 Họ: 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 Họ: 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 females is the same for each car preference vs. HA: the proportion of females is not the same for each car preference 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 (b) What is the expected frequencies of each cell? Fill out the table. (Round your answers to 2 decimal places, if needed.) TAmerican European: Japanse Male 15.14 Female 20.8 (c) What is the test statistic value for this hypothesis test? (Round your answers to 2 decimal places, if needed.) TS = (d) The test statistic follows a chi-square distribution with df = 2 (e) Using the statistical table, the p-value is 0.01 < p-value="">< 0.025 + (1) based on the p-value, those conducting the test should fail to reject + the null hypothesis at the significance level of 0.05. (g) what is the appropriate conclusion? o there is insufficient evidence to conclude the proportion of males is not the same for each car preference. o there is insufficient 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. o there is sufficient evidence to conclude there is a difference in males and females for car preference. 0.025="" +="" (1)="" based="" on="" the="" p-value,="" those="" conducting="" the="" test="" should="" fail="" to="" reject="" +="" the="" null="" hypothesis="" at="" the="" significance="" level="" of="" 0.05.="" (g)="" what="" is="" the="" appropriate="" conclusion?="" o="" there="" is="" insufficient="" evidence="" to="" conclude="" the="" proportion="" of="" males="" is="" not="" the="" same="" for="" each="" car="" preference.="" o="" there="" is="" insufficient="" 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.="" o="" there="" is="" sufficient="" evidence="" to="" conclude="" there="" is="" a="" difference="" in="" males="" and="" females="" for="" car="">