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 sizes

would lead to the highest power for this test?

$\text{(a)}n=200\text{and}\alpha =0.01$

$\text{(b)}n=400\text{and}\alpha =0.05$

$\text{(c)}n=400\text{and}\alpha =0.01$

$\text{(d)}n=500\text{and}\alpha =0.01$

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

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