In a survey of 308 adults,17% listed jewelry among the romantic gifts men want to receive.Construct the 98% confidence interval for the proportion of all adults who include jewelry among their responses.

Question

Quizplus · Accepted Answer

To calculate the confidence interval, we can use the formula:

CI = p̂ ± Z*SE

Where:

p̂ = sample proportion = 0.17
Z = Z-value for a 98% confidence interval = 2.33
SE = standard error = √(p̂(1-p̂)/n), where n = sample size = 308

Plugging in the values, we get:

SE = √(0.17(1-0.17)/308) = 0.025

CI = 0.17 ± 2.33*0.025 = [0.120, 0.220]

Therefore, the best choice is C) [.120 .220].

In a Survey of 308 Adults,17% Listed Jewelry Among the Romantic