55% of the males in our Spring 2016 Stats class out of a sample of 161...

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55% of the males in our Spring 2016Stats 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. Assumethat the two samples were independent and representative samples.Construct and interpret a 99% large sample confidence interval forthe difference in the proportion of males compared to females inour Stats class who are from South Dakota. Can we conclude thatthere is a significant difference in the proportion of males fromfemales that are from South Dakota at the 99% level? Be sure tocheck the sample size first.

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