Question

Suppose that in a certain hypothesis test the null hypothesis is rejected at the .10 level; it is also rejected at the .05 level; however it cannot be rejected at the .01 level. The most accurate statement that can be made about the p-value for this test is that:

		p-value = 0.01.
		p-value = 0.10.
		0.01 < p-value < 0.05.
		0.05 < p-value < 0.10.

Complete the sentence: If we do not reject the null hypothesis, we conclude that _____.

	a.	there is not enough statistical evidence to infer that the alternative hypothesis is true
	b.	there is enough statistical evidence to infer that the alternative hypothesis is true
	c.	there is enough statistical evidence to infer that the null hypothesis is true
	d.	the test is statistically insignificant at the indicated level of significance

Answer 1

Solution :

Given that,

A certain hypothesis test the null hypothesis is rejected at the .10 level; it is also rejected at the .05 level .

p-value < 0.10,0.05

But

p-value > 0.01 it cannot be rejected at the .01 level .

The most accurate statement that can be made about the p-value for this test is that ,

0.01 < p-value < 0.05

If we do not reject the null hypothesis, we conclude that ,

there is not enough statistical evidence to infer that the alternative hypothesis is true .

Option a) is correct .