Question: Sports and Leisure The Hotel Association of Canada reported that, because of the high cost of airline tickets and gasoline, more people are taking a staycation, a vacation close to their hometown. According to a survey, 31% of travelers stayed in a hotel near home, visited local attractions, restaurants, and shopped. Suppose 250 Canadians planning to take a vacation are selected at random and asked whether they will take a staycation.
a. What is the probability that the sample proportion who will take a staycation is between 0.30 and 0.35?
b. What is the probability that the sample proportion is more than 0.37?
c. Find a value of the sample size n such that the probability that the sample proportion is less than 0.40 is 0.95.