1. A new brand of breakfast cereal is being market tested. One hundred boxes of the cereal were given to consumers to try. The consumers were asked whether they liked or disliked the cereal. You are given the following responses: 60 people liked the cereal, 40 people did not like the cereal. Construct a 95% confidence interval for the proportion of all consumers who will like the cereal. 2. 1. A university planner wants to determine the proportion of spring semester students who will attend summer school. She surveys 32 current students discovering that 12 will return for summer school. Construct a 90% confidence interval estimate for the proportion of current spring students who will return for summer school. 3. 1. A health club annually surveys its members. Last year, 33% of the members said they use the treadmill at least 4 times a week. How large of sample should be taken this year to estimate the percentage of members who use the treadmill at least 4 times a week? The estimate is desired to have a margin of error of 5% with a 95% level of confidence.