Page 1 of 5 ZOOM + Please use the following information to solve questions 1 through 4. For Harvard University paychology majors, the proportion of students who had progressive responses on political ideology is 40% for a random sample of 300 non-vegetarian students, and the proportion is 50% for a random sample of 200 vegetarian students. A psychologist claims that there is a difference in the proportions of students with progressive viewpoints between the non-vegetarian students and vegetarian students. It can be assumed that the students selected for this study represents the population of similar students at Harvard University 1. The standardized test statistic used to compare the proportions of the non- vegetarian students with the vegetarian students is very nearly: A -2.20 B 3.20 C. Cannot be determined. 2. The p-value associated with a t-statistic as extreme as that or more extreme than that calculated in question 1 is very nearly. A. 0.0027 B. 0.027 C. 0.27 3. Comparing the p-value calculated in question 2 to a level of significance of 0.05 in a hypothesis, it can be concluded that there is: A. There is not enough evidence to support the hypothesis that the proportion of the nonvegetarian students is not equal to the mean score of the vegetarian students. B. There is enough evidence to support the hypothesis that the proportion of the nonvegetarian students is not equal to the mean score of the vegetarian students. C. We cannot reach any definite conclusion on this. 4. The lower boundary of the 95% confidence interval for the difference in population proportions of non-vegetarian students and vegetarian students with progressive views on political ideology is: A. -0.01 B. -0.189 C. 0