4. A recent study indicated that 29% of the 100 women over age 55 in the study were widows How large a sample must you take to be 90% confident that the estimate is within 5% of the true
proportion of women over age 55 who are widows?

Astudy was conducted to determine the proportion of people who dream in black and white instead of color. among 306 people over the age of 55, 68 dream in black and white, and among 298 people under 25, 13 dream in black and white ( based on data from do we dream in color) we want to use a 0.01 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion of those under 25.