478 middle school (grades 4 to 6) students from three school districts in Michigan were asked whether good grades, athletic ability, or popularity was most important to them. The resultsare shown below, broken down by gender:

(a) Do these data provide evidence that grades, sports, and popularity are not equally valued among middle school students in these school districts? State the null and alternative hypotheses, calculate a test statistic, find a p-value, and answer the question.
(b) Do middle school boys and girls have different priorities regarding grades, sports, and popularity? State the null and alternative hypotheses, calculate a test statistic, find a p-value, and answer the question.

Transcribed Image Text:

Grades Sports Popular 60 30 Boy Girl 117 50 91 130