Question

Given the following four probabilities that the null hypothesis is true, determine whether to reject the...

Given the following four probabilities that the null hypothesis is true, determine whether to reject the null hypothesis or fail to reject the null hypothesis for each of the p-values.
a. p = 0.060
b. p = 0.001
c. p = 0.045
d. p = 0.026

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Suppose that we are testing the hypothesis at 0.05 significance level

then

we will reject the null hypothesis only when p value is less than 0.05 significance level

If p value is equal to or greater than 0.05 significance level, then we will not reject the null hypothesis

(A) p value is 0.060, which is greater than 0.05 significance level. This means that we failed to reject the null hypothesis in this particular case.

(B) p value is 0.001, which is less than 0.05 significance level. This means that we can reject the null hypothesis in this particular case.

(C) p value is 0.045, which is less than 0.05 significance level. This means that we can reject the null hypothesis in this particular case.

(D) p value is 0.026, which is less than 0.05 significance level. This means that we can reject the null hypothesis in this particular case.

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