AP3.25. Suppose the null and alternative hypotheses for a significance test are defined as H0:μ=40Hα:μ<40 Which of the following specific values for Ha will give the highest power?

(a) μ=38

(b)μ=39

(c) μ=42

(d)μ=41

(e)μ=42

Short Answer

Expert verified

μ=38would give the highest power.

Hence ,the correct option is (a)

Step by step solution

01

Step 1. Given information

It is given that we have to suppose that the null and alternative hypothesis for a significance test are defined as

H0:μ=40Hα:μ<40
02

Step 2. Simplify

The smaller number of the value of μthe easier it is reject the null hypothesis, therefore the solution would be the smallest number from the following options.

Hence ,the correct option is (a).

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