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Expert-verified Found in: Page 564 ### The Practice of Statistics for AP

Book edition 4th
Author(s) David Moore,Daren Starnes,Dan Yates
Pages 809 pages
ISBN 9781319113339 # After once again losing a football game to the archrival, a college’s alumni association conducted a survey to see if alumni were in favor of firing thecoach. An SRS of 100 alumni from the population of all living alumni was taken, and 64 of the alumni in the sample were in favor of firing the coach.Suppose you wish to see if a majority of living alumni are in favor of firing the coach. The appropriate test statistic isa. b.c.d.e.

Option a is correct

See the step by step solution

## Step 1. Test statsitic

The test statistic for the population proportion is as follows:

$z=\frac{p-\stackrel{^}{p}}{\sqrt{\frac{p\left(1-p\right)}{100}}}$

where $p=0.64$, role="math" localid="1654256041572" $\stackrel{^}{p}=0.5$ and $n=100$.

## Step 2. Substitute the value in the test statistic.

Substitute the respective values in the test statistic.

$\begin{array}{c}z=\frac{0.64-0.5}{\sqrt{\frac{0.64\left(1-0.64\right)}{100}}}\\ =\frac{0.64-0.5}{\sqrt{\frac{0.64×0.36}{100}}}\end{array}$

So, option a is the correct option. ### Want to see more solutions like these? 