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(If creating a confidence interval involving proportions, always use the Plus Four Method. Use 5% significance...

(If creating a confidence interval involving proportions, always use the Plus Four Method. Use 5% significance level for all tests and 95% confidence level for all confidence intervals.)

You want to estimate the difference in the percent of women who get manicures and the percent of men. You take SRSs of 50 men and 50 women and find that 37 of the women get manicures at least once a month, while 12 of the men get manicures at least once a month.

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