# If the critical z value for a hypothesis test equals 2.45, what value of the test statistic would provide the least chance of making a Type I error?

3.74

10,000

2.46

4.56

## 2.46

A Type I error is rejecting the null when it is true.

If the critical value is 2.45, and you have a test statistic of 2.46, you have the least chance among the other choices of rejecting the null and it happens to be true.

## Wrong answer

## 10,000

## To determine the value of the test statistic that would provide the least chance of making a Type I error, we need to compare it with the critical z value.

A Type I error occurs when we reject the null hypothesis (H0) when it is actually true. To minimize the chance of making a Type I error, we should choose a test statistic that falls below the critical z value.

In this case, the critical z value is 2.45. Among the given options, the value of the test statistic that is below 2.45 is 2.46.

Therefore, the value of the test statistic that would provide the least chance of making a Type I error is 2.46.