Christmas Drink. Refer to Exercise 12.52.

a. Find the margin of error for the estimate of p.

b. Obtain a sample size that will ensure a margin of error of at most 0.02 for a 95% confidence interval without making a guess for the observed value of S. ˇ

c. Find a 95% confidence interval for p if, for a sample of the size determined in part (b), 50.0% of those sampled drink wine as their preferred holiday beverage.

d. Determine the margin of error for the estimate in part

(c) and compare it to the margin of error specified in part (b).

e. Repeat parts (b)–

(d) if you can reasonably presume that the percentage of adults sampled who drink wine as their preferred holiday beverage will be at most 55%.

f. Compare the results you obtained in parts (b)–

(d) with those obtained in part (e).