PROBLEM 14E

For developing countries in Africa and the Americas, let p1 and p2 be the respective proportions of babies with a low birth weight (below 2500 grams). We shall test H0: p1 = p2 against the alternative hypothesis H1: p1 > p2.

(a) Define a critical region that has an α = 0.05 significance level.

(b) If respective random samples of sizes n1 = 900 and n2 = 700 yielded y1 = 135 and y2 = 77 babies with a low birth weight, what is your conclusion?

(c) What would your decision be with a significance level of α = 0.01?

(d) What is the p-value of your test?

Step 1 of 5

Given: