Mathematics
27.09.2020 12:17
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Statistics students surveyed 135 students at Tallahassee Community College. From

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? Group of answer choices

a. Survey more students.

b. Use a 99% confidence level.

c. Survey more students and use a 99% confidence interval.

d. None of the other choices.
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ashleyrichard29
ashleyrichard29
4,5(18 marks)

a. Survey more students.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The higher the confidene level, the higher the value of z is.

The margin of error is given by:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

The smaller the margin of error, the narrower the interval is.

What can they do to make a narrower interval?

As we saw from the equation above, the margin of error decreases as the sample size increases.

So the correct answer is:

a. Survey more students.

sjsmith21
sjsmith21
4,6(26 marks)

ED2

44444444444

DStep-by-step explanation:

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