1.(5 pt) In a representative random sample of 1168 American adults, 747 said they were not financially prepared for retirement. Construct a 95% confidence interval to estimate the proportion of all American adults who are not financially prepared for retirement.

2.(6 pt) A researcher was interested in comparing the resting pulse rates of people who exercise regularly and of those who do not exercise regularly. Independent simple random samples of 36 people who do not exercise regularly and 32 people who do exercise regularly were selected, and the resting pulse rates (in beats per minute) were recorded. The summary statistics are as follows.

Do not exercise regularly

Exercise regularly

beats/min

beats/min

beats/min

beats/min

Use a 0.01 significance level to test the claim that the mean resting pulse rate of people who do not exercise regularly is higher than the mean resting pulse rate of people who exercise regularly.