A random sample of 691 college freshman found that 462 bought most of their textbooks from the college's bookstore. A random sample of 387 college seniors found that 245 bought their textbooks from the college's bookstore. You wish to test the claim that the proportion of all freshman that purchase most of their textbooks from the college's bookstore is not equal to the proportion of all seniors at a significance level of $\displaystyle \alpha={0.01}$. Round answers to 4 decimal places. Assume the freshman are group one and seniors are group two.

What are the correct hypotheses?

H₀: Select an answer x̅₁ σ₁ p μ₁ μ₂ p₁ x̅₂ p₂ ? = < ≤ > ≥ ≠ Select an answer μ₁ σ₂ p₁ p μ₂ p₂ x̅₂ x̅₁ 0

H₁: Select an answer x̅₁ μ₁ x̅₂ p p₂ μ₂ p₁ σ₁ ? < ≠ = ≤ > ≥ Select an answer μ₂ x̅₁ p p₂ x̅₂ 0 σ₁ μ₁ p₁

Based on the hypotheses, find the following:

Test Statistic =

Critical-value = $\displaystyle \pm$

The test statistic is: Select an answer not in the critical region in the critical region .

The correct decision is to Select an answer accept the alternative hypothesis accept the null hypothesis reject the null hypothesis fail to reject the null hypothesis reject the claim .

The correct summary would be: Select an answer There is not enough evidence to support There is enough evidence to support There is not enough evidence to reject There is enough evidence to reject the claim that the proportion of all freshman that purchase most of their textbooks from the college's bookstore is not equal to the proportion of all seniors.