You are to test the following hypotheses: H₀: µ 900 A sample of size 25 produces a sample mean of 926, with a standard deviation of 50.The p-value for this test is .0079.If the significance level set for the test is .01, we should A)Reject the null hypothesis since $\alpha$ t_c C)not Reject the null hypothesis since $\alpha$ p-value D)not Reject the null hypothesis since t_stat t_c E)Accept the null hypothesis since p-value

Question

You are to test the following hypotheses: H₀: µ < 900 H_a: µ > 900 A sample of size 25 produces a sample mean of 926, with a standard deviation of 50.The p-value for this test is .0079.If the significance level set for the test is .01, we should A)Reject the null hypothesis since $\alpha$ < p-value. B)Reject the null hypothesis since t_stat > t_c C)not Reject the null hypothesis since $\alpha$> p-value D)not Reject the null hypothesis since t_stat > t_c E)Accept the null hypothesis since p-value <$\alpha$

Quizplus · Accepted Answer

The correct choice is to reject the null hypothesis when the test statistic (t-stat) is greater than the critical value (t-crit), which is implied by a p-value smaller than the significance level, indicating strong evidence against the null hypothesis.

You Are to Test the Following Hypotheses: H0: µ α\alphaα < P-Value B)Reject the Null Hypothesis Since Tstat > Tc C)not

You Are to Test the Following Hypotheses: H₀: µ $\alpha$ < P-Value
B)Reject the Null Hypothesis Since T_stat > T_c
C)not