Use the following for the next 2 questions. A wedding planner read the article in Business Insider about using a mathematical theory to determine the best age to get married (https://www.businessinsider.com/best-age-to-get-married-is-26-2017-2). This story reported the best age to get married was 26. While this number is determined by mathematical theory, the wedding planner feels that males and females may have different views on the best age to get married. She feels that females will think the best age to get married is less than what males consider the best age to get married. Question 10 from the survey asked students "At what age do you think is the best to get married in order to have a successful marriage?" Assume that the students who responded the survey are a SRS of all ETSU students. Is there good evidence to support the idea that female students at ETSU think the best age to get married is less, on average, than male students?
GENDER N Mean StDev
Female 559 25.68 4.20
Male 449 26.90 6.18
1. To perform the hypothesis test, which analysis should we conduct?
(A) One sample t test.
(B) A matched pairs t test.
(C) Two sample t test.
(D) The z-test.
(E) A Chi-square test.
2. The appropriate analysis was performed and the P-value was 0.0001. Which of the following correctly answers the research question? Use ↵ = 0.05.
(A) The P-value is smaller than ↵ so we will reject the null hypothesis. There is strong evidence that, on average, females think the best age to get married is less than male students at ETSU.
(B) The P-value is so large that we will not reject the null hypothesis. There is not strong enough evidence to indicate that, on average, females think the best age to get married is less than male students at ETSU.
(C) The P-value is smaller than ↵ so we will reject the null hypothesis. There is not strong enough evidence to indicate that, on average, females think the best age to get married is less than male students at ETSU.
(D) The P-value is smaller than ↵ so we will not reject the null hypothesis. There is not strong evidence to indicate that, on average, females think the best age to get married is less than male students at ETSU.
(E) Cannot draw a valid conclusion since the number of male students is not equal to the number of female students.