a random sample of males, and 27 write with their left hands and 225 do not. a random sample of females, that 62 write with their left hands and 434 do not. We want to test the claim that the rate of left-handedness among males is less than that among females with a significance level 0.05. the first sample is the sample of males and the second sample females. the null hypothesis (H0 ) is P1 = P2 , and the alternative hypothesis (H1 ) is P1 < P2., Find the p-value.