A Type I error occurs when the null hypothesis is incorrectly rejected when it is true. Here are the steps to evaluate each statement:

1. Alternative hypothesis is false: This statement is not necessarily correct. Even if the alternative hypothesis is false, a Type I error can still occur if the null hypothesis is true but is incorrectly rejected.

2. Null hypothesis is false: This statement is correct. If the null hypothesis is false, then rejecting it would be the correct decision, so a Type I error (incorrectly rejecting the null hypothesis when it is true) cannot occur.

3. Null hypothesis is true: This statement is not correct. If the null hypothesis is true and we reject it, that's exactly when a Type I error occurs.

4. Test is a two-tail test: This statement is not correct. The possibility of committing a Type I error is not dependent on whether the test is one-tailed or two-tailed.

So, the correct answer is: "We cannot commit a Type I error when the null hypothesis is false."

Question

A Type I error occurs when the null hypothesis is incorrectly rejected when it is true. Here are the steps to evaluate each statement:

1. Alternative hypothesis is false: This statement is not necessarily correct. Even if the alternative hypothesis is false, a Type I error can still occur if the null hypothesis is true but is incorrectly rejected.

2. Null hypothesis is false: This statement is correct. If the null hypothesis is false, then rejecting it would be the correct decision, so a Type I error (incorrectly rejecting the null hypothesis when it is true) cannot occur.

3. Null hypothesis is true: This statement is not correct. If the null hypothesis is true and we reject it, that's exactly when a Type I error occurs.

4. Test is a two-tail test: This statement is not correct. The possibility of committing a Type I error is not dependent on whether the test is one-tailed or two-tailed.

So, the correct answer is: "We cannot commit a Type I error when the null hypothesis is false."

Knowee AI · Accepted Answer

A Type I error occurs when the null hypothesis is incorrectly rejected when it is true. Here are the steps to evaluate each statement:

1. Alternative hypothesis is false: This statement is not necessarily correct. Even if the alternative hypothesis is false, a Type I error can still occur if the null hypothesis is true but is incorrectly rejected.

2. Null hypothesis is false: This statement is correct. If the null hypothesis is false, then rejecting it would be the correct decision, so a Type I error (incorrectly rejecting the null hypothesis when it is true) cannot occur.

3. Null hypothesis is true: This statement is not correct. If the null hypothesis is true and we reject it, that's exactly when a Type I error occurs.

4. Test is a two-tail test: This statement is not correct. The possibility of committing a Type I error is not dependent on whether the test is one-tailed or two-tailed.

So, the correct answer is: "We cannot commit a Type I error when the null hypothesis is false."

We cannot commit a Type I error when the:Group of answer choicesalternative hypothesis is false.null hypothesis is false.null hypothesis is true.test is a two-tail test.

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