(Q7 prob set) please answer all questions in the image to include completing the blanks in the table. but for "7A" the answer options are "reject" or "doesnt reject".

7 A social psychologist is interested in finding out whether people who self-identify as introverted are more likely to attend certain types of colleges. He surveys college-bound graduating seniors and asks them what type of college they plan to attend and whether or not they consider themselves introverted. The following frequency distribution table summarizes the responses to the two survey questions. College Type Liberal Arts Four-Year Community or Agricultural, Technical, or College University Junior College Specialized College Other Total Extroverted 218 346 255 82 9 910 Introverted 41 111 125 48 21 Total 259 380 130 30 The following questions walk you through the steps of a test of the null hypothesis that a student's choice of college type is independent of whether he self-identifies as introverted. Fill in the three missing values in the frequency distribution table. If a student's choice of college type is independent of whether he self-identifies as introverted, then the expected frequency for the Introverted/Four- Veer University category is When you calculate the chi-square test statistic, you add up the contributions from each of the 10 categories. Each contribution consists of the squared difference between the expected and observed frequencies for that particular category, divided by the expected frequency-that is, (fo - fe)= / fe. The contribution of the Introverted/Four-Year University category is The work of computing the contributions of each of the remaining nine categories has been done for you. The other nine categories combined contribute 56.746 to the chi-square test statistic. The value of the test statistic is therefore x* = Use a significance level of a = 0.05 to conduct the test of the hypothesis that a student's choice of college type is independent of whether he self- identifies as introverted. According to the critical value approach, you reject the null hypothesis if x* 2 The null hypothesis that a student's choice of college type is independent of whether a student is introverted or extroverted is 7A