7 In a randomized controlled trial, insecticide-treated bednets were tested as a way to reduce malaria. Among 321 infants using bednets, 13 developed malaria. Among 254 infants notusing bednets, 30 developed malaria. Use a 0.05 significance level to test the claim that the incidence of malaria is lower for infants using bednets.a. Test the claim using a hypothesis test.b. Test the claim by constructing an appropriate confidence interval.c. Based on the results, do the bednets appear to be effective?a. What are the null and alternative hypotheses?Let the infants using bednets be sample 1 and let the infants not using bednets be sample 2. Choose the correct hypotheses below.OB.O A. Ho: P₁H₁: P₁P2P2D. Ho: P₁ = P2H₁: P₁ P2Identify the test statistic.(Round to two decimal places as needed.)Identify the P-value.(Round to three decimal places as needed.)What is the conclusion for this test?Ho: P₁ P2H₁: P₁ P2Since the P-value isO E. Ho: P₁ P2H₁: P₁ = P₂OC.Ho: P₁H₁: P₁P2P₂OF. Ho: P1 P2H₁: P₁ P2the significance level α,the null hypothesis.b. Let the infants using bednets be sample 1 and let the infants not using bednets be sample 2. Use a 0.05 significance level to construct a confidence interval.<(P₁-P₂) <(Round to three decimal places as needed.) (Round to three decimal places as needed.)What is the conclusion for this test?the significance level a,the null hypothesis.b. Let the infants using bednets be sample 1 and let the infants not using bednets be sample 2. Use a 0.05 significance level to construct a confidence interval.< (P₁-P₂) <(Round to three decimal places as needed.)What is the conclusion for the confidence interval?Since the P-value isSince the confidence intervalzero, therec. Based on the results, do the bednets appear to be effective?According to the hypothesis test, there iseffective. According to the confidence interval, there isto be effective.to be a difference between the proportions.evidence to support the claim that the incidence of malaria is lower for infants using bednets, so the bednetsevidence to support the claim that the incidence of malaria is lower for infants using bednets, so the bednetsto be

Given that among 321 infants using bed nets, 13 developed malaria and among 254 infants not using bed nets, 30 developed malaria.alpha = 0.05I used Minitab for analysis.H0: p1>=p2H1: p1<p2In Minitab go to Stat>Basic Statistics>2 Proportions test>choose "Summarized data">enter the data>click "OK".We get:TestNull hypothesisH₀: p₁ - p₂ >= 0Alternative hypothesisH₁: p₁ - p₂ < 0Estimation for DifferenceDifference95% CI forDifference-0.0776118(-0.122782, -0.032442)CI based on normal approximationMethodZ-ValueP-ValueNormal approximation-3.3680.00038Test statistic = -3.37P-value = 0.000Since p-value is less than alpha, reject the null hypothesis.b) The confidence interval (from Minitab) is: -0.123 < p1-p2 < -0.032Since the confidence interval does not contain zero, there appears to be a difference among proportions.c) According to the hypothesis test, there is sufficient/enough evidence to support the claim that the incidence of malaria is lower for infants using bed nets, so the bed nets appear to be effective. According to the confidence interval, there is sufficient/enough evidence to support the claim that the incidence of malaria is lower for infants using bed nets, so the bed nets appear to be effective.a) Test statistic = -3.37P-value = 0.000b) The confidence interval is: -0.123 < p1-p2 < -0.032c) According to the hypothesis test, there is sufficient/enough evidence to support the claim that the incidence of malaria is lower for infants using bed nets, so the bed nets appear to be effective. According to the confidence interval, there is sufficient/enough evidence to support the claim that the incidence of malaria is lower for infants using bed nets, so the bed nets appear to be effective.