Five null hypotheses were tested, and the P-values were: $$\begin{array} { l | c c c c c }
\text { Hypothesis } & 1 & 2 & 3 & 4 & 5 \
\hline P \text {-value } & 0.007 & 0.016 & 0.006 & 0.023 & 0.004
\end{array}$$ Which hypotheses, if any, can be rejected at the $\alpha = 0.05$ 05 level?
A) none of them
B) 2, 4
C) 1, 3, 5
D) all of them

Question

Five null hypotheses were tested, and the P-values were: $$\begin{array} { l | c c c c c } 
\text { Hypothesis } & 1 & 2 & 3 & 4 & 5 \
\hline P \text {-value } & 0.007 & 0.016 & 0.006 & 0.023 & 0.004
\end{array}$$ Which hypotheses, if any, can be rejected at the $\alpha = 0.05$ 05 level?
A) none of them
B) 2, 4
C) 1, 3, 5
D) all of them

Quizplus · Accepted Answer

For each hypothesis, compare its P-value with the level of significance (alpha) given in the question, which is 0.05. If the P-value is less than or equal to alpha, then reject the null hypothesis. Hypotheses 1, 3, and 5 have P-values less than alpha, so they can be rejected. Therefore, the answer is C) 1, 3, 5. Hypotheses 2 and 4 have P-values greater than alpha, so they cannot be rejected. Therefore, the answer is not B) 2, 4 or D) all of them. Finally, since at least one hypothesis can be rejected, the answer is not A) none of them.

Five Null Hypotheses Were Tested, and the P-Values Were Which Hypotheses, If Any, Can Be Rejected at The