If our obtained t-value for an independent samples t test is -2.21 and we are using a nondirectional alternative hypothesis, which of the following t_crit value(s) will lead to the rejection of H₀? A) +2.18 B) -2.03 C) -2.41 D) either "a" or "b" above

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Quizplus · Accepted Answer

For a nondirectional (two-tailed) hypothesis test, we compare the absolute value of our obtained t-value to the critical t-value(s). Since our obtained t-value is -2.21, we look at both the positive and negative critical values. Both +2.18 and -2.03, when considering their absolute values, are less than the absolute value of our obtained t-value (2.21), meaning our obtained t-value falls in the rejection region for either of these critical values.

If Our Obtained T-Value for an Independent Samples T Test