If a hypothesis is not rejected at the 5% level of significance, it a. will always be rejected at the 1% level b. will also not be rejected at the 1% level c. will sometimes be rejected at the 0.1% level d. will sometimes be rejected at the 1% level

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07-04-2022
Mathematics

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If a hypothesis is not rejected at the 5% level of significance, it a. will always be rejected at the 1% level b. will also not be rejected at the 1% level c. will sometimes be rejected at the 0.1% level d. will sometimes be rejected at the 1% level

Sagot :

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joaobezerra joaobezerra · Answer 1 · 2022-04-14T05:50:10-04:00

Considering the p-value of the test, the correct option is:

b. will also not be rejected at the 1% level.

How do we reach the decision to reject or not reject the null hypothesis?

It depends on the p-value of the test, as follows:

If the p-value is greater than the significance level, we do not reject the null hypothesis.

If it is less than the significance level, we reject the null hypothesis.

In this problem, the hypothesis is not rejected at the 5% level of significance, hence the p-value is greater than 0.05, which means that it will not be rejected at any level below 5% and option b is correct.

More can be learned about hypothesis tests at https://brainly.com/question/26454209

Sagot :

How do we reach the decision to reject or not reject the null hypothesis?

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