Question

A mining company wants to test a claim concerning the mean weight of their silver nuggets. They are testing the null hypothesis that the true mean is 3 ounces against the alternative that the mean is less than 3 ounces. The p-value for the hypothesis test was determined to be 0.002. Which of the following is a correct interpretation of this p-value?

a. The null hypothesis would not be rejected at either the 0.05 or 0.01 level b. The null hypothesis would be rejected at a 0.01 level but not at a 0.05 level. c. The null hypothesis would be rejected at both the 0.05 and 0.01 levels. d. The null hypothesis would be rejected at a 0.05 level but not at a 0.01 level.

Answer 1

We know that we accept the null hypothesis if p value is greater than type 1 error.