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Q. 1

Expert-verified
Found in: Page 799

### The Practice of Statistics for AP

Book edition 4th
Author(s) David Moore,Daren Starnes,Dan Yates
Pages 809 pages
ISBN 9781319113339

# A major agricultural company is testing a newvariety of wheat to determine whether it is more resistant tocertain insects than is the current wheat variety. The pro-portion of a current wheat crop lost to insects is $4%$. Thus,the company wishes to test the following hypotheses:${H}_{0:p}=0.04$${H}_{0:p}<0.04$Which of the following significance levels and sample sizeswould lead to the highest power for this test?$\text{(a)}n=200\text{and}\alpha =0.01$$\text{(b)}n=400\text{and}\alpha =0.05$$\text{(c)}n=400\text{and}\alpha =0.01$$\text{(d)}n=500\text{and}\alpha =0.01$$\text{(e)}n=500\text{and}\alpha =0.05$

$\text{e)}n=500,\alpha =0.05$

See the step by step solution

## Step 1: Given information

we have been given five options from which one is correct and the correct is (e)

## Step 2: Simplify

While it is possible to derive the power of a given function

$n=500\text{and}\alpha =0.05$

$\text{The higher the sample size, the more power to detect differences.}$