Question

g Recall the example about community college students and gender. Statistics students surveyed 135 students at Tallahassee Community College. From their data we are 95% confident that between 44.7% and 61.9% of all TCC students are female. The students realize that this interval contains a large margin of error. What can they do to make a narrower interval?

Answer 1

They can either decrease the confidence level or increase the sample size, that is, survey more students.

Explanation:

The width of a confidence interval is given by:

`M = z*(\sigma)/(√(n))`

In which z is the critical value correponding to the confidence level(higher confidence level, higher z is),
`\sigma` is the standard deviation of the population and n is the size of the sample.

The students realize that this interval contains a large margin of error. What can they do to make a narrower interval?

Looking at the formula for M, they can either decrease the confidence level or increase the sample size, that is, survey more students.