1. In a two-tail test for the population mean, if we decided in favor of the alternative hypothesis when the null hypothesis is false, A. a correct decision is made B. a Type II error is made C. a one-tail test should be used instead of a two-tail test D. a Type I error is made In a one-tail test for the population mean, 2. if we decide in favor of the null hypothesis when the alternative hypothesis is true, A. a two-tail test should be used instead of a one-tail test B. no error has been made C. a Type I error is committed D. a Type II error is committed

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Answer:

c

Step-by-step explanation:

1. A. a correct decision is made.

2. D. a Type II error is committed.

What are Type I and Type II Errors?

Type I error is a mistake made in a statistical hypothesis testing, when we reject a null hypothesis that is TRUE, and accept the alternative hypothesis.

Type II error occurs when we accept a null hypothesis that is FALSE, and reject the alternative hypothesis.

In hypothesis testing, if the null hypothesis is FALSE, we reject it and decide in favor of the alternative hypothesis.

The following conclusions would be made:

1. Since we decided in favor of the alternative hypothesis when the null hypothesis is FALSE, therefore: A. a correct decision is made.

2. If the alternative hypothesis is TRUE and we accept or decide in favor of the null hypothesis, therefore: D. a Type II error is committed.

Learn more about Type I and Type II errors on:

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