7) please help In a randomized controlled trial, insecticide-treated bednets wer

Question

7) please help

In a randomized controlled trial, insecticide-treated bednets were tested as a way to reduce malaria. Among 344 infants using bednets, 18 developed malaria. Among 258 infants not using bednets, 24 developed malaria. Use a 0.05 significance level to test the claim that the incidence of malaria is lower for infants using bednets. Do the bednets appear to be effective? Conduct the hypothesis test by using the results from the given display. Difference ? = p(1) = p(2) Estimate for difference: - 0.0406977 95% upper bound for difference: 0.00184597 Test for difference = 0 (vs p_2 B. H_0: p_1 notequalto p_2 H_1: p_1 = p_2 C. H_0: p_1 lessthanorequalto p_2 H_1: p_1 > p_2 D. H_0: p_1 = p_2 H_1: p_1

Explanation / Answer

a) if 1 is using benets

2 - not using bednet

then option D) is correct

x1 = 18 ,n1 = 344 ,x2 = 24 , n2 = 258

p = (x1+x2)/(n1+n2) = (18+24)/(344+258) = 0.0697674419

TS = (18/344 - 24/258) / sqrt ( 0.0697674419*(1-0.0697674419)(1/358 +1/244))

= -1.92435   

p-value = P(Z< -1.92435) = 0.026

since z-critical = -1.645

alpha value = 0.05

since p-value < alpha

we reject the null hypothesis

and conclude that there is enough evidence that the incidence of maleria is lower for infants using bednets

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