A recent study was conducted to determine the proportion of

A recent study was conducted to determine the proportion of people who cry at movies. A sample of 150 people was collected and 60 of them have cry at movies. Construct a 95% confidence interval for the population proportion.

(.55,.65)

(58, 62)

(.32, .48)

(.36, .44)

.95

Solution

Sample size = 150

Sample proportion = 60/150 = 0.4

Std error^2 = 0.4(0.6)/150

Std error = 0.04

Margin of error = 0.0784 or 7.84%

Confidence interval = 32.16% to 47.84%

= (32.16%, 47.84%)

Hence Option C

(.32, .48