In a random sample of males 23 write with their left hand and 217 do not. 65 females write with their left hand and 455 do not. 0.01 significance level to test the claim that he rate of left-handedness among males is less than that among females.
a. Test the claim using a hypothesis test (show all work)
b. Test the claim by constructing an appropriate confidence interval (show all work)
c. Is the rate of left-handedness among males less than the rate of left-handedness among females? (show all work)