If a hypothesis test using a sample of n = 16 scores produces a t statistic of t = 2.15,then the correct decision is to reject the null hypothesis for a two-tailed test with α = .05.

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If the t statistic is 2.15 for a sample of n = 16 and the significance level is α = .05 for a two-tailed test, then the critical t value for rejection would be ±2.131 (using a t-table with 15 degrees of freedom). Since 2.15 falls outside of this critical range, we would reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis. Therefore, the correct decision is to reject the null hypothesis for a two-tailed test with α = .05.

If a Hypothesis Test Using a Sample of N =