students in two universities. We shall test HO: p₁ = P₂ against the alternative hypothesis H1: p1> p2. (a) Define a critical region that has an a = 0.05 significance level. (b) If respective random samples of sizes n₁ = 900 and n₂ = 700 students having y₁ = 135 and y₂ = 77 foreign students, what is your conclusion? (c) What would your decision be with a significance level of a = 0.01? (d)What is the p-value of your test?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
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Let p₁ and p2 be the respective proportions of foreign students in two universities. We
shall test HO: p₁ = P2 against the alternative hypothesis H1: p1>p2.
(a) Define a critical region that has an a = 0.05 significance level.
(b) If respective random samples of sizes n₁ = 900 and n₂ = 700 students having
77 foreign students, what is your conclusion?
(c) What would your decision be with a significance level of a = 0.01?
(d)What is the p-value of your test?
= 135 and y₂ =
Transcribed Image Text:Let p₁ and p2 be the respective proportions of foreign students in two universities. We shall test HO: p₁ = P2 against the alternative hypothesis H1: p1>p2. (a) Define a critical region that has an a = 0.05 significance level. (b) If respective random samples of sizes n₁ = 900 and n₂ = 700 students having 77 foreign students, what is your conclusion? (c) What would your decision be with a significance level of a = 0.01? (d)What is the p-value of your test? = 135 and y₂ =
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