Chapter 12, Problem AP4.1CPT

To determine

To find out which of the following significance levels and sample sizes would lead to the highest power for this test.

Answer to Problem AP4.1CPT

Option (e) is the correct option.

Explanation of Solution

A major agricultural company is testing a new variety of wheat to determine whether it is more resistant to certain insects than the current wheat variety. While it is possible to theoretically derive the power for a given value of the alternative. This question can easily be answered using simple concepts:

The higher the sample size, the more power to detect differences.The smaller alpha is, the harder it is to reject the null hypothesis, the more likely you are to make a type II error, the lower the power.Therefore, the power is maximized when alpha and sample size if the largest. Thus the option (e) is the correct option.