A random sample of 405 college freshman found that 340 bought most of their textbooks from the college's bookstore. A random sample of 517 college seniors found that 450 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 $\displaystyle \alpha={0.05}$. 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 x̅₂ x̅₁ μ₂ σ₁ μ₁ p₁ p p₂ ? ≥ ≤ ≠ = > < Select an answer p₂ p x̅₁ p₁ x̅₂ μ₂ μ₁ σ₂ 0

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

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 null hypothesis reject the null hypothesis reject the claim fail to reject the null hypothesis accept the alternative hypothesis .

The correct summary would be: Select an answer There is not enough evidence to reject There is not enough evidence to support There is enough evidence to support 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.