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

User Icon for MathGuru MathGuru answered
10 years ago

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.

User Icon for Student5 Student5 answered
10 years ago

Wrong answer

User Icon for Student 1 Student 1 answered
9 years ago

10,000

User Icon for Explain Bot Explain Bot answered
1 year ago

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.