Suppose the hypotheses for a onesample ttest are H0 0 vs H

Suppose the hypotheses for a one-sample t-test are H0: ? = 0 vs. Ha: ? > 0. Further suppose that, based on a sample of n=15 observations, the t test statistic is t = 1.82.

What are the degrees of freedom for this t-test statistic?

Give the two critical t-values in the t-Table that bracket t =1.82

Give the two right-tail probabilities for these two t-values.

How should the p-value for this test of significance be reported? _______

Is the value t=1.82 statistically significant at the p < 0.05 level? (Y/N) _______

Is the value t=1.82 statistically significant at the p < 0.01 level? (Y/N) _______

Solution

p value for 5% significant level = 0.045101

This p < Alpha

Hence null hypothesis is rejected.

The result is statistically significant at 5% level.

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At 1% significant level,

p value =0.04510.

As p >0.01, the result is not statistically significant.