A confidence interval was used to estimate the proportion of business statistics students that are females.A random sample of 72 business statistics students generated the following 90% confidence interval: (0.438,0.642).Based on the interval above,is the population proportion of females equal to 0.60?
A) No. The proportion is 54.17%.
B) Maybe. 0.60 is a believable value of the population proportion based on the information above.
C) Yes, and we are 90% sure of it.
D) No, and we are 90% sure of it.

Question

Quizplus · Accepted Answer

The confidence interval (0.438,0.642) does not include 0.60, but it is possible that the true proportion is around 0.60 if the sample is not perfectly representative of the population. The interval is only 90% certain to contain the true proportion, so there is some uncertainty. Therefore, option B is the best choice.

A Confidence Interval Was Used to Estimate the Proportion of Business