A confidence interval was used to estimate the proportion of statistics students who are female. A random sample of 72 statistics students generated the following 90% confidence interval: (.438, .642). Based on the interval, is the population proportion of females equal to 59%?
A) Maybe. 59% is a believable value of the population proportion based on the information above.
B) No, and we are 90% sure of it.
C) Yes, and we are 90% sure of it.
D) No, the proportion is 54%.

Question

Quizplus · Accepted Answer

The value 59% (or 0.59) falls within the confidence interval (.438, .642), so it is a plausible value for the population proportion based on this interval.

A Confidence Interval Was Used to Estimate the Proportion of Statistics