Sudoku puzzles have become very popular in recent years; 31.1% of members of house-holds with annual income of at least $100,000 worked Sudoku puzzles in 2012 (Statistica.com, March 10, 2013). Are there differences between the genders? The proportion of women and men from these households who worked Sudoku puzzles in 2012 can be estimated from the following sample data.

a. State the hypotheses that can be used to test for a difference between the proportion for the population of men and the proportion for the population of women who worked Sudoku puzzles.
b. What is the sample proportion of men who worked Sudoku puzzles? What is the sample proportion of women?
c. Conduct the hypothesis test and compute the p-value. At a .05 level of significance, what is your conclusion?
d. What is the margin of error and 95% confidence interval estimate of the difference between the populationproportions?

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Gender Men Women Sample size 1200 1600 Worked Sudoku Puzzles 312 512