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

a. there is enough statistical evidence to infer that the alternative hypothesis is true

b. there is not 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 whatever level of significance the test was conducted

Question

Gabrielle Orr

Mathematics

7 December, 17:22

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

a. there is enough statistical evidence to infer that the alternative hypothesis is true

b. there is not 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 whatever level of significance the test was conducted

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Answers (1)

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Matthias · Answer 1

B.

Step-by-step explanation:

In hypothesis testing if we don't reject the null hypothesis then it doesn't mean that we are accepting the null hypothesis. It simply means that we have insufficient evidence of rejection of the null hypothesis. This means that we have insufficient evidence to claim that our alternative hypothesis is true.

Hence, if we do not reject the null hypothesis, we conclude that there is not enough statistical evidence to infer that the alternative hypothesis true.