1. In a randomized controlled trial in Kenya, insecticide-treated bednets were tested as a way to reduce malaria. Among 343 infants who used the bednets, 15 developed malaria. Among 294 infants not using bednets, 27 developed malaria. Use a 0.01 significance level to test the claim that the incidence of malaria is lower for infants who use the bednets. Do the bednets appear to be effective? a. (2 pts) Write the claim statement in sentence. b. (2 pts) State the null and alternate hypothesis in symbolic form c. (2 pts) Verify the requirements. d. (2 pts) Find P-value. Explain why you should or should not reject null hypothesis e. (2 pts) Write the conclusion in sentence. 2. (6 pts) In a survey of commuting habits, it was found that among 1068 homeowners. 824% dive themselves to work. Among 1064 renters, 68.1% drive themselves to work. Construct a 95%% combdence interval estimate of the difference between the proportion of homeowners who drive themselves to work and the proportion of renters who drive themselves to work. Base on the result, does there appear to be a significant difference between those two proportions? 3. A study was conducted to investigate the effectiveness of hypnotism in reducing pain Results for randomly selected subjects are given in the accompanying table. The values are before and after hypnosis, the measurements are in centimeters on a pain scale. Use a 0.05 significance level to test the claim that the sensory measurements are lower after hypnotism. Assume the data come from a population have approximately normal. Subject A B C D E F IG Before 6.6 6.5 9.0 1023 /113 63 11.6 After 6.8 2.4 7.4 85 8.1 6.1 3.4 20 a. (2 pts) Write the claim statement in sentence. b. (2 pts) State the null and alternate hypothesis in symbolic form c. (2pts) Verify the requirements. () pts) Find P-value. Explain why you should or should not reject null hypothesis for