Question

In a one-tail hypothesis test where you reject H₀ only in the upper tail, what is the critical value of the t-test statistic with 10 degrees of freedom at the 0.01 level of significance?

Answer 1

For a one-tail hypothesis test with 10 degrees of freedom at the 0.01 level of significance, the critical t-test statistic is approximately 2.764. This is the value at which you would reject the null hypothesis if your test statistic is greater.

Step-by-step explanation:

The critical value for a one-tail hypothesis test with 10 degrees of freedom at the 0.01 level of significance can be found using the t-distribution table or appropriate statistical software. For this specific scenario, one would look up the value corresponding to 10 degrees of freedom with an area of 0.01 in the upper tail of the t-distribution, since the rejection region is only in the upper tail.

Typically, for a one-tailed test at the 0.01 level of significance with 10 degrees of freedom, the critical t-test statistic is approximately 2.764. If your computed t-value from your analysis is greater than 2.764, then you would reject the null hypothesis.

Remember, this value might slightly vary depending on the t-distribution table being used or the precision of the software output, but 2.764 is a commonly accepted value for 10 degrees of freedom at the 0.01 level of significance in a one-tailed test.