In a two-tailed hypothesis test situation, the test statistic is determined to be t = -2.032. The sample size is 35. The p-value for this test is
A) -.05.
B) +.05.
C) -.10.
D) +.10.

Question

Quizplus · Accepted Answer

The p-value in hypothesis testing represents the probability of obtaining test results at least as extreme as the results actually observed, under the assumption that the null hypothesis is correct. It is always a positive value, indicating a probability, and cannot be negative. Since the test statistic is -2.032, which indicates the test statistic falls in one of the tails of the distribution, we look for a positive p-value that corresponds to the probability of observing such a result (or more extreme) by chance. The exact p-value would depend on the degrees of freedom (n-1 for a t-test, where n is the sample size) and the t-distribution table. However, given the options, the correct choice is a positive value, and among the positive options, +.10 is the only correct format for a p-value, as it represents a probability. The exact p-value is not given, but the format and sign are correct.

In a Two-Tailed Hypothesis Test Situation, the Test Statistic Is