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. The results were statistically significant. The results were not statistically significant. The null hypothesis should be rejected. The null hypothesis should be accepted. The null hypothesis cannot be rejected.

Suppose we want to test the null hypothesis H0 : p = 0.28 against the alternative hypothesis H1 : p ≠ 0.28. Suppose also that we observed 100 successes in a random sample of 400 subjects and the level of significance is 0.05. What is the p-value for this test? Question 2Select one:a.0.05b.0.9563c.0.1802d.0.0901

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.

Suppose we are conducting a hypothesis test with the following hypotheses:H0: p = 0.7H1: p > 0.7Furthermore suppose we get a p-value of 0.07 while using = 0.05, which of the following is the correct decision?a.At the 5% level of significance, there is significant evidence to reject H1 and retain H0.  b.At the 5% level of significance, there is significant evidence to retain H0c.At the 5% level of significance, there is significant evidence to reject H0 in favour of H1.  d.At the 5% level of significance, there is not significant evidence to reject H0.

Which of the following p-values will lead us to reject the null hypothesis if the level of significance equals 0.10?Group of answer choices0.001.0.05.All of these choices are correct.0.01.

The following two hypotheses are tested:Ho: The proportion of U.S. adults who oppose same-sex marriage is roughly 50%.Ha: The proportion of U.S. adults who oppose same-sex marriage is above 50% (i.e., the majority oppose).Suppose a survey was conducted in which a random sample of 1,100 U.S. adults was asked about their opinions about same-sex marriage, and based on the data, the p-value was found to be .002.Use a .05 (5%) significance level.The fact that the p-value = .002 means that