Question

question 4 (1 point)
in a 2 - sample z - test for two proportions, you find a p - value of 0.0081. in a two - tailed test with α = 0.01, what decision should be made?
do not reject the null.
not enough information to tell
reject the null.

Explanation:

Step1: Recall decision - rule for hypothesis testing

In a two - tailed test, if the p - value is less than the significance level $\alpha$, we reject the null hypothesis. If the p - value is greater than $\alpha$, we do not reject the null hypothesis.

Step2: Compare p - value and $\alpha$

We are given that the p - value is $0.0081$ and the significance level $\alpha = 0.01$. Since $0.0081<0.01$.

Answer:

Reject the null.