Construct and interpret the confidence interval


Discuss the following:

Q: Dun & Bradstreet survey of business owners found that 23% of female business owners had a business home page compared to 16% of male business owners. Assume that file XR11063 contains the underlying data for each group, coded as 1 = no business home page and 2 = business home page. Using the 0.01 level of business home page. Using the 0.01 level of significance, evaluate the null hypothesis that female and male business owners across the country might really be equally likely to have a home page for their business. Identify and interpret the p-value for the test, then construct and interpret the 99% confidence interval for the difference between the population proportions.

Female Male
1 1
1 1
1 1
2 1
1 1
2 1
1 1
1 1
1 1
1 1
1 1
1 2
2 1
2 1
1 1
1 2
1 1
1 1
1 1
1 1
1 1
1 1
1 1
2 2
1 1
1 1
1 1
1 1
1 1
1 1
2 2
2 1
2 2
1 2
1 1
1 2
1 1
1 1
1 1
1 2
1 1
1 1
1 1
2 1
1 2
1 1
2 1
2 1
1 2
1 1
1 1
1 1
1 1
2 1
1 1
1 1
1 1
1 1
2 1
2 1
1 1
2 1
1 1
1 1
1 1
1 1
1 1
1 1
1 1
2 1
1 1
1 1
1 1
1 1
2 1
2 1
1 1
1 1
1 1
1 2
1 2
1 1
1 1
1 1
1 1
1 1
1 1
1 1
1 1
1 2
1 1
2 1
1 1
2 1
1 1
2 1
1 1
1 2
1 1
1 1
1 1
1 1
1 1
2 1
1 1
1 1
1 1
1 1
2 2
1 2
1 1
1 1
1 1
2 1
1 1
1 1
1 2
1 1
2 1
2 1
1 1
1 1
1 1
1 1
1 1
2 1
1 1
1 1
1 2
1 2
1 1
1 1
2 1
2 1
1 1
1 1
1 1
1 1
1 1
1 2
1 1
1 1
1 1
1 1
2 1
2 2
1 1
1 1
2 2
1 1
1 1
1 2
2 2
1 2
1 1
1 1
1 1
1 1
1 1
1 1
1 2
2 1
2 1
2 1
1 2
1 2
2 1
1 1
1 1
1 2
1 1
1 2
1 1
1 1
1 1
1 1
2 1
1 1
1 1
2 1
2 1
1 1
2 1
1 1
2 1
2 1
1 1
1 1
1 1
2 2
1 1
1 1
1 1
1 1
2 1
1 1
2 1
1 1
1 2
1 1

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Basic Statistics: Construct and interpret the confidence interval
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