Question

Part A

In a large clinical​ trial,397,778 children were randomly assigned to two groups. The treatment group consisted of 197,034 children given a vaccine for a certain​ disease, and 37 of those children developed the disease. The other 200,744 children were given a​ placebo, and 119 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Identify the values of n1, p1​, q1​,n2​, p2​, q2​, p and q.

Part B:

In a random sample of​ males, it was found that 24 write with their left hands and 212 do not. In a random sample of​ females, it was found that 61 write with their left hands and 451 do not. Use a 0.01 significance level to test the claim that the rate of​ left-handedness among males is less than that among females. Complete parts​ (a) through​ (c) below.

a. Test the claim using a hypothesis test.

Consider the first sample to be the sample of males and the second sample to be the sample of females. What are the null and alternative hypotheses for the hypothesis​ test?

A. H0​: p1≠p 2p2

H1​: p1=p2

B. H0​:p1=p2

H1​:p1>p2

C.H0​: p1=p2

H1​:p1<p2

D.H0​: p1=p2

H1​: p1s≠p2

E.H0​: p1≤p2

H1​:p1≠p 2p2

F. H0​: p1≥p2

H1​:p1≠p2

identify the test statistic and p-value.

What is the conclusion based on the hypothesis​ test?

The​ P-value is less than or greater than the significance level of alpha=0.01 so fail to reject or reject the null hypothesis. There is sufficient or is not sufficient evidence to support the claim that the rate of​ left-handedness among males is less than that among females.

b. Test the claim by constructing an appropriate confidence interval.

The 98​% confidence interval is __<( p1- p2)<__.

What is the conclusion based on the confidence​ interval?

Because the confidence interval limits include or do not include ​0, it appears that the two rates of​ left-handedness are not equal. or equal. There is not sufficient or is sufficient evidence to support the claim that the rate of​ left-handedness among males is less than that among females.

c. Based on the​ results, is the rate of​ left-handedness among males less than the rate of​ left-handedness among​ females?

A.The rate of​ left-handedness among males does appear to be less than the rate of​ left-handedness among females because the results are not statistically significant.

B.The rate of​ left-handedness among males does not appear to be less than the rate of​ left-handedness among females.

C.The rate of​ left-handedness among males does appear to be less than the rate of​ left-handedness among females because the results are statistically significant.

D.The results are inconclusive.

Answer 1