1. Find the best point estimate of the population proportion p. (Round to three
ID: 3055570 • Letter: 1
Question
1. Find the best point estimate of the population proportion p. (Round to three decimal places)
2. Identify the value of the margin of error E. (Round to three decimal places)
3. Construct the confidence interval.
? < p < ? (Round to three decimal places)
Explanation / Answer
1. x=546, n =989
p = 546/989 = 0.552
2. Margin of Error = z * ?p(1-p)/n = 1.645 * ?0.552 (1-0.552) / 989 = 0.026012
3. Confidence interval = (0.552 - 0.026012) <p < (0.552 + 0.026012)
= 0.526 < p <0.578