The construction of the t-statistic for a one- and a two-sided hypothesis
A)depends on the critical value from the appropriate distribution.
B)is the same.
C)is different since the critical value must be 1.645 for the one-sided hypothesis, but 1.96 for the two-sided hypothesis (using a 5% probability for the Type I error).
D)uses ±1.96 for the two-sided test, but only +1.96 for the one-sided test.

Question

Quizplus · Accepted Answer

The construction of the t-statistic itself for a one- and a two-sided hypothesis test is the same; it involves calculating the difference between the sample mean and the null hypothesis mean, divided by the standard error of the mean. The distinction between one- and two-sided tests comes into play when determining the critical value or interpreting the p-value, not in the construction of the t-statistic itself.

The Construction of the T-Statistic for a One- and a Two-Sided