Question

question 6
suppose that a major polling organization wanted to test the hypothesis that there was a change in the president’s “approval rating” since last month. last month, 35% of the representative sample of registered voters approved of the president. for this month, the null hypothesis was that the approval rating equals 35% and the alternative hypothesis is that the approval rating does not equal 35%. the significance level for this test was 0.05.
the results of the hypothesis test of the new survey showed a p - value of 0.008.
which of the following statements is correct? check all that apply.
a. the results were statistically significant.
b. the results were not statistically significant.
c. the null hypothesis should be rejected.
d. the null hypothesis should be accepted.
e. the null hypothesis cannot be rejected.

Explanation:

Step1: Recall significance - p - value rule

If p - value $\leq$ significance level, results are significant and null hypothesis is rejected.

Step2: Compare p - value and significance level

Given significance level = 0.05 and p - value = 0.008. Since 0.008 $\leq$ 0.05.

Answer:

A. The results were statistically significant.
C. The null hypothesis should be rejected.