Questions
stat_400_120258_253926 PA13-2
Numerical
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). Suppose we will test H0: p1 = p2 against H1: p1 > p2. If respective random samples of sizes n1 = 900 and n2 = 700 yield y1 = 135 and y2 = 77 babies with a low birth weight, what is the p-value associated with this hypothesis test. (Give your answer to four decimal places.)
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Step-by-Step Analysis
The question asks for the p-value when testing H0: p1 = p2 versus H1: p1 > p2 with the data given.
First, summarize the data: n1 = 900, y1 = 135, so p1_hat = y1/n1 = 135/900 = 0.1500. For the second sample, n2 = 700, y2 = 77, so p2_hat = y2/n2 = 77/700 = 0.1100.
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