In: Statistics and Probability
55% of the males in our Spring 2016 Stats class out of a sample of 161 males are from South Dakota. 52% of the females out of a sample of 157 are from South Dakota. Assume that the two samples were independent and representative samples. Construct and interpret a 99% large sample confidence interval for the difference in the proportion of males compared to females in our Stats class who are from South Dakota. Can we conclude that there is a significant difference in the proportion of males from females that are from South Dakota at the 99% level? Be sure to check the sample size first.