In a random sample ofmales, it was found that 18 write with their left hands and 219 do not. In a random sample offemales, it was found that 55 write with their left hands and 452 do not. Use a 0.01 significance level to test the claim that the rate ofleft-handedness among males is less than that among females.

A.) What is the test statistics?

z = _ (Round to two decimal places as needed.)

B.) What is the P-value?

P-value = _ (Round to three decimal places as needed.)

C.) Test the claim by constructing an appropriate confidence interval.

_ < (P1 - P2) < _