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

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

The test is statistically insignificant at whatever level of significance the test was conducted at

There is enough statistical evidence to infer that the alternative hypothesis is true

There is enough statistical evidence to infer that the null hypothesis is true

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

A.

The test is statistically insignificant at whatever level of significance the test was conducted at

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.

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

Solution

Both (A) and (D) are correct. statistically insignificant = fail to reject null = fail to infer alternative is true.

If we do not reject the null hypothesis, we conclude that: The test is statistically insignificant at whatever level of significance the test was conducted at T

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