A recent study indicated that 29% of the 100 women over age 55 in the study were

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A recent study indicated that 29% of the 100 women over age 55 in the study were widows.

a. How large a sample must you take to be 90% confident that the estimate is within 0.05 of the true proportion of women over age 55 who are widows? 

b. If no estimate of the sample proportion is available, how large should the sample be?

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