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

To determine the value of the test statistic that would provide the least chance of making a Type I error, you need to compare it to the critical z value. A Type I error occurs when you reject the null hypothesis when it is actually true.

Given that the critical z value is 2.45, any test statistic smaller than 2.45 would result in a higher chance of making a Type I error. Therefore, the test statistic with the least chance of making a Type I error would be the smallest value among the given options that is greater than 2.45.

Among the options provided, the smallest value that is greater than 2.45 is 2.46. Therefore, the correct answer is 2.46.