In a random sample of males, it was found that 24 write with their left hands and 223 do not.

In a random sample of females, it was found that 60 write with their left hands and 441 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.Make sure you provide all the important statistical analysis.
• Construct the confidence interval estimating the population difference that is equivalent to the hypothesis test.