A random group of students was selected from a large student conference to analyze their class in school. Is there evidence to reject the hypothesis that the number of students is equally distributed between the four classes, at = 0.05? A) There is not evidence to reject the claim that students are equally distributed between the four classes because the test value 7.815 9.488 C) There is not evidence to reject the claim that students are equally distributed between the four classes because the test value 9.488 7.815

Question

A random group of students was selected from a large student conference to analyze their class in school. Is there evidence to reject the hypothesis that the number of students is equally distributed between the four classes, at = 0.05? A) There is not evidence to reject the claim that students are equally distributed between the four classes because the test value 7.815 < 8.897 B) There is evidence to reject the claim that the customers' preferences are distributed between the four classes because the test value 8.897 > 9.488 C) There is not evidence to reject the claim that students are equally distributed between the four classes because the test value 9.488 < 8.897 D) There is evidence to reject the claim that students are equally distributed between the four classes because the test value 8.897 > 7.815

Quizplus · Accepted Answer

The question is testing the hypothesis that the number of students is equally distributed between four classes. This is a chi-square goodness of fit test, and the calculated test statistic is 8.897. The degrees of freedom for this test are 3 (four classes minus one). Looking at a chi-square distribution table with 3 degrees of freedom, at a 0.05 significance level, the critical value is 7.815. Since the calculated test statistic (8.897) is greater than the critical value (7.815), there is evidence to reject the null hypothesis that the number of students is equally distributed between the four classes. Therefore, the answer is D.

A Random Group of Students Was Selected from a Large