A hypothesis test produces a t statistic of t = 2.20.If the researcher is using a two-tailed test with α = .05,how large does the sample have to be in order to reject the null hypothesis?
A)At least n = 11
B)At least n = 12
C)At least n = 13
D)At least n = 14

Question

A hypothesis test produces a t statistic of t = 2.20.If the researcher is using a two-tailed test with α = .05,how large does the sample have to be in order to reject the null hypothesis?​
A)​At least n = 11
B)​At least n = 12
C)​At least n = 13
D)​At least n = 14

Quizplus · Accepted Answer

Using a t-table or calculator, we can find that the critical t-value for a two-tailed test with α = .05 and degrees of freedom (df) = n-1 is approximately ±2.131. Since the calculated t-value (t = 2.20) is greater than the critical t-value, we reject the null hypothesis. In order for the researcher to reject the null hypothesis with a t-value of 2.20, the sample size must be large enough to provide enough precision in the estimate. Using a t-distribution table or calculator, we find that with df = n-1, a sample size of n = 13 would be needed to achieve a t-value of 2.20 with α = .05. Therefore, the best answer is C, at least n = 13.

A Hypothesis Test Produces a T Statistic of T =