Let p1 and p2 be the respective proportions of women with nu

Let p1 and p2 be the respective proportions of women with nutritional anemia in each of two developing countries. If a random sample of 275 women from the first country yielded 96 women with nutritional anemia, and an independently chosen, random sample of 225 women from the second country yielded 67 women with nutritional anemia, find a 95% confidence interval for p1 - p2 . Then complete the table below. Carry your intermediate computations to at least three decimal places. Round your responses to at least three decimal places. (If necessary, consult a list of formulas.) What is the lower Iimit of the 95% confidence interval? What is the upper limit of the 95% confidence interval?

Solution

This is a paired test for proportions.

p1 = 0.3491

p2 = 0.2978

Difference =p1-p2 = 0.0513

95% confidence interval: no continuity correction
Lower limit = -0.0314	Upper limit = 0.1319