6) In a random sample of​ males, it was found that 25 write withtheir left hands and 209 do not. In a random sample of​ females, itwas found that 75 write with their left hands and 454 do not. Use a0.01 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.

a1) Test the claim using a hypothesis test

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

a2) Identify the test statistic (Round to two decimal places asneeded)

a3) Identify the P Value (Round to three decimal places asneeded)

a4) What is the conclusion based on the hypothesis?

The P-Value is _____(greater than/less than) the significancelevel of alpha = 0.01, so _______(fail to reject/reject) the nullhypothesis. There is _______(sufficient/is not sufficient) evidenceto support the claim that the rate of left-handedness among malesis less than that among females.

b1) Test the claim by constructing an appropriate confidenceinterval.

The 98% confidence interval is ____ < (p1-p2) < ____(Round to three decimal places as needed)

b2) What is the conclusion based on the confidence interval?

Because the confidence interval limits ______(include/does notinclude) 0, it appears that the two rates of left-handedness are____(equal/not equal/equivalent). There is _____(sufficient/notsufficient) evidence to support the claim that the rate of lefthandedness among males is less than that among females.

c1) Based on the results, is the rate of left handedness amongmales less than the rate of left handedness among females?

a) The rate of left handedness among males does appear to beless than the rate of left handedness among females because theresults are not statistically significant.

b) The rate of left handedness among males does appear to beless than the rate rate of left handedness among females becausethe results are statistically significant

c) The rate of left handedness among males does not appear to beless than the rate of left handedness among females

d) The results are inconclusive