1. According to the American Hotel and Motel Association (AHMA), women are expected to account for half of all business travelers by the year 2002. To attract these women business travelers, the AHMA found that 70% offer hair dryers in the bathrooms. Consider a random and independent sample of 20 hotels.
Find the probability that more than 10 but less than 15 of the hotels in the sample offered hair dryers in the bathroom. Round your answer to four decimal places.
2. The local independent party wants to poll registered voters to see the proportion who would consider voting for an independent candidate. They have asked you to tell them how many voters they need to survey to get a 90% confidence level that the true population proportion is within a 0.02 margin of error. How many people do they need to survey to achieve the desired margin of error?