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 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 0 01 (d) What is the p value of your test

Question: 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

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?

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