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

Answer 1

The null hypothesis would be rejected at both the 0.05 and 0.01 levels (a)

[ explanation:-

hypothesis:-

p value = 0.002

decision:-

p value = 0.002 < 0.01 (alpha)

so, we reject the null hypothesis at 0.01 level of significance.

p value = 0.002 < 0.05 (alpha)

so, we reject the null hypothesis at 0.05 level of significance.]

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