Question

In a randomized controlled trial in Kenya, insecticide-treated bednets were tested as a way to reduce malaria. Among 343 infants using bednets, 15 developed malaria. Among 294 infants not using bednets, 27 developed malaria. We want to use a 0.05 significance level to test the claim that the incidence of malaria is lower for infants using bed nets. Assume the test statistic is -2.44. Calculate the Critical value; do you reject or support the claim?

A. Critical value = -1.96; Reject the claim

B. Critical value = -2.44; Reject the claim

C. Critical value = -1.96; Support the claim

D. Critical value = -2.44; Support the claim

Answer 1

The critical value is -1.96. We reject the claim.

Step-by-step explanation:

To determine whether the incidence of malaria is lower for infants using bed nets, we need to conduct a hypothesis test. Using a 0.05 significance level, we compare the test statistic (-2.44) to the critical value. For a one-tailed test, the critical value is -1.96. Since the test statistic is less than the critical value, we reject the claim and conclude that there is evidence to support the claim that the incidence of malaria is lower for infants using bed nets.