Question

A random sample of 535 college freshman found that 144 bought most of their textbooks from the college's bookstore. A random sample of 266 college seniors found that 37 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 α=0.01α=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 x̅₂ p μ₂ σ₁ x̅₁ μ₁ p₂ p₁ Correct ? = > ≥ ≤ ≠ < Correct Select an answer x̅₂ σ₂ p₁ p p₂ μ₂ 0 x̅₁ μ₁ Correct

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

Based on the hypotheses, find the following:

Test Statistic = Correct

Critical-value = ±±

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

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

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

Answer 1

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