In a hypothesis test, the p-value is 0.009. The stated significance level is 0.05. What is the decision regarding the null hypothesis? a. More information is needed to make a decision. b. Not reject the null hypothesis c. Reject the null hypothesis. d. Reject the alternative hypothesis.
Question
In a hypothesis test, the p-value is 0.009. The stated significance level is 0.05. What is the decision regarding the null hypothesis?
a. More information is needed to make a decision.
b. Not reject the null hypothesis
c. Reject the null hypothesis.
d. Reject the alternative hypothesis.
Solution
c. Reject the null hypothesis.
Here's why:
In hypothesis testing, the p-value is compared to the stated significance level (also known as the alpha level) to make a decision about the null hypothesis.
If the p-value is less than or equal to the significance level, you reject the null hypothesis. If the p-value is greater than the significance level, you do not reject the null hypothesis.
In this case, the p-value (0.009) is less than the significance level (0.05), so you would reject the null hypothesis.
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