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Dr. M is testing what type of messaging is effective in persuading people to stop smoking. She recruits 50 U.S. adults who smoke at least one pack of cigarettes per day and randomly assigns them into one of two groups. Group 1 watches a 2- minute video about the health risks of smoking, while Group 2 watches a 2-minute video about the economic costs of smoking. After the video, each participant completes a survey measuring their intent to quit smoking (measured on a 1-7 scale, where 1 = no intentions to quit, 4 = moderate intentions to quit, and 7 = strong intentions to quit). The raw scores (Y) from the two groups are displayed below. Group 1 Group 2 (health risk video) (economic costs video) n = 25 n = 25 WAN A UI W N ANQUIW WWANNUGNAWNNA UWUANWWAN NWAUDIWUAUINWALIWA (Questions for Scenario IV are on the next page) 1. Based on the information above, what is the appropriate statistical for this scenario? (+2 points) A. One-sample Z test B. One-sample t test C. Independent samples t test D. Chi-square test(health risk video) (economic costs video) :1 = 25 n = 25 Y 1' {)leJAUIIQer-DUILA-b-DJLIJG'U'WJAUIWIJ IJMU'EJJL-UaliId-IhlJlW'JIJXIJUJWLIJWIJ-[Q tqwbm numb- (Questions for Scenario IV are on the next page) 1. Based on the information above, what is the appropriate statistical for this scenario? (+2 points) A. Onesample Z test B. One-sample ttest C. Independent samples I test D. Chisquare test 2. Using the hypothesis testing steps for an independent samples t test and a = .01, carry out the steps to test a nondirectional hypothesis as to whether the \"intent to quit\" smoking score for Group 1 is different from the score for Group 2. (+21 points) 3. List the three necessary assumptions for this type of statistical test and explain whether each assumption is met, based on the information provided in the scenario. (+2 points)