1. For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. In a random sample of 62 professional actors, it was found that 41 were extroverts.

(a)Let p represent the proportion of all actors who are extroverts. Find a point estimate for p. (Round your answer to four decimal places.) (b)Find a 95% confidence interval for p. (Round your answers to two decimal places.) lower limit upper limit

2. For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. In a marketing survey, a random sample of 980 supermarket shoppers revealed that 280 always stock up on an item when they find that item at a real bargain price.

(a)Let p represent the proportion of all supermarket shoppers who always stock up on an item when they find a real bargain. Find a point estimate for p. (Enter a number. Round your answer to four decimal places.) (b)Find a 95% confidence interval for p. (For each answer, enter a number. Round your answers to three decimal places.) lower limit upper limit

What is the margin of error based on a 95% confidence interval? (Enter a number. Round your answer to three decimal places.)