g Recall the example about community college students and gender. Statistics students surveyed 135 students at Tallahassee Commu

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g Recall the example about community college students and gender. Statistics students surveyed 135 students at Tallahassee Commu

nity 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?

Mathematics

1 answer:

bixtya [17] · Answer 1 · 2022-06-14T03:26:59+03:00

Answer:

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

Step-by-step explanation:

The width of a confidence interval is given by:

$M = z*\frac{\sigma}{\sqrt{n}}$

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.