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

Question

Quizplus · Accepted Answer

The confidence interval of (0.438, 0.642) means that we are 90% confident that the population proportion of female statistics students is between 0.438 and 0.642. Since 0.60 falls within this interval, it is a believable value for the population proportion. However, we cannot say for certain that the population proportion is exactly 0.60, as the confidence interval is a range of plausible values.

A Confidence Interval Was Used to Estimate the Proportion of Statistics