Which of the following is the correct conclusion for the hypothesis test? A.At the5%significance level,rejectH0;the dataprovidesufficient evidence to conclude that women who take folic acid are at lesser risk of having children with major birth defects. B.At the5%significance level,rejectH0;the datado not providesufficient evidence to conclude that women who take folic acid are at lesser risk of having children with major birth defects. C.At the5%significance level,do not rejectH0;the datado not providesufficient evidence to conclude that women who take folic acid are at lesser risk of having children with major birth defects. D.At the5%significance level,do not rejectH0;the dataprovidesufficient evidence to conclude that women who take folic acid are at lesser risk of having children with major birth defects.Part 5b. This study is▼ an observational study,a designed experiment,because the people running the study▼ did not applyappliedtreatments to the subjects of the study.Part 6c. Since the study was▼ an observational studya designed experimentand the conclusion was to▼ not rejectrejectthe null hypothesis, it▼ couldcould notbe reasonably concluded that taking folic acid causes a reduction in major birth defects. For several years, evidence had been mounting that folic acid reduces major birth defects. In a study, doctors enrolledwomen prior to conception and divided them randomly into two groups. One group, consisting of 2783 women, took dailymultivitamins containing 0.8 mg of folic acid; the other group, consisting of 2103 women, received only trace elements.Major birth defects occurred in 31 cases when the women took folic acid and in 47 cases when the women did not.a. At the 5% significance level, do the data provide sufficient evidence to conclude that women who take folic acid are atlesser risk of having children with major birth defects?b. Is this study a designed experiment or an observational study? Explain your answer.c. In view of your answers to parts (a) and (b), could you reasonably conclude that taking folic acid causes a reduction inmajor birth defects? Explain your answer.a. Use the two-proportions z-test to conduct the required hypothesis test. Let population 1 be women that took folic acid,and let population 2 be women that did not take folic acid. What are the hypotheses for this test?OA. Ho: P₁OC. Ho: P₁O E. Ho: P₁P2, H₂: P₁ = P2P₂2, Ha: P₁ P2P₂, Ha: P1 P2Calculate the test statistic.z=(Round to two decimal places as needed.)Calculate the P-value.P= (Round to three decimal places as needed.)B. Ho: P₁P2, Ha: P₁ P2OD. Ho: P₁P2, Ha: P₁ = P2OF. Ho: P₁

Question

Which of the following is the correct conclusion for the hypothesis​ test?  A.At the5​%significance​ level,rejectH0​;the dataprovidesufficient evidence to conclude that women who take folic acid are at lesser risk of having children with major birth defects. B.At the5​%significance​ level,rejectH0​;the datado not providesufficient evidence to conclude that women who take folic acid are at lesser risk of having children with major birth defects. C.At the5​%significance​ level,do not rejectH0​;the datado not providesufficient evidence to conclude that women who take folic acid are at lesser risk of having children with major birth defects. D.At the5​%significance​ level,do not rejectH0​;the dataprovidesufficient evidence to conclude that women who take folic acid are at lesser risk of having children with major birth defects.Part 5b. This study is▼ an observational study,a designed experiment,because the people running the study▼ did not applyappliedtreatments to the subjects of the study.Part 6c. Since the study was▼ an observational studya designed experimentand the conclusion was to▼ not rejectrejectthe null​ hypothesis, it▼ couldcould notbe reasonably concluded that taking folic acid causes a reduction in major birth defects. For several years, evidence had been mounting that folic acid reduces major birth defects. In a study, doctors enrolledwomen prior to conception and divided them randomly into two groups. One group, consisting of 2783 women, took dailymultivitamins containing 0.8 mg of folic acid; the other group, consisting of 2103 women, received only trace elements.Major birth defects occurred in 31 cases when the women took folic acid and in 47 cases when the women did not.a. At the 5% significance level, do the data provide sufficient evidence to conclude that women who take folic acid are atlesser risk of having children with major birth defects?b. Is this study a designed experiment or an observational study? Explain your answer.c. In view of your answers to parts (a) and (b), could you reasonably conclude that taking folic acid causes a reduction inmajor birth defects? Explain your answer.a. Use the two-proportions z-test to conduct the required hypothesis test. Let population 1 be women that took folic acid,and let population 2 be women that did not take folic acid. What are the hypotheses for this test?OA. Ho: P₁OC. Ho: P₁O E. Ho: P₁P2, H₂: P₁ = P2P₂2, Ha: P₁ P2P₂, Ha: P1 P2Calculate the test statistic.z=(Round to two decimal places as needed.)Calculate the P-value.P= (Round to three decimal places as needed.)B. Ho: P₁P2, Ha: P₁ P2OD. Ho: P₁P2, Ha: P₁ = P2OF. Ho: P₁

Accepted Answer

Introduction:
Denote p1, p2 as the true proportions of women who gave birth to children with major…