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 48%?

A) No, and we are 90% sure of it.
B) No, the proportion is 54%.
C) Maybe. 48% is a believable value of the population proportion based on the information above.
D) Yes, and we are 90% sure of it.

Question

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 48%?

A) No, and we are 90% sure of it.
B) No, the proportion is 54%.
C) Maybe. 48% is a believable value of the population proportion based on the information above.
D) Yes, and we are 90% sure of it.

Quizplus · Accepted Answer

The value 0.48 falls within the confidence interval (0.438, 0.642), so it is a plausible value for the population proportion.

A Confidence Interval Was Used to Estimate the Proportion of Statistics