According to the critical value approach, you reject the null hypothesis if χ² ≥ ____ . The null hypothesis that a student’s choice of college type is independent of whether a student is introverted or extroverted is ____ (rejected or not rejected). 7. The chi-square test for independenceA social psychologist is interested in finding out whether people who self-identify as introverted are more likely to attend certain types of colleges. Hesurveys college-bound graduating seniors and asks them what type of college they plan to attend and whether or not they consider themselvesintroverted.The following frequency distribution table summarizes the responses to the two survey questions.College TypeFour-YearCommunity orAgricultural, Technical, orLiberal Arts CollegeUniversityJunior CollegeSpecialized CollegeOtherTotalExtroverted21834625582910Introverted411111254821346Total259457380130301,256The 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 heself-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 Extroverted/LiberalArts College 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 thesquared difference between the expected and observed frequencies for that particular category, divided by the expected frequency-that is, (fo - fe)² /fe. The contribution of the Extroverted/Liberal Arts College category isThe work of computing the contributions of each of the remaining nine categories has been done for you. The other nine categories combinedcontribute 53.600 to the chi-square test statistic. The value of the test statistic is therefore x2Use the Distributions tool to answer the questions that follow.Chi-Square DistributionDegrees of Freedom = 6T5789.101112131415x2

Question

According to the critical value approach, you reject the null hypothesis if χ² ≥ ____   . The null hypothesis that a student’s choice of college type is independent of whether a student is introverted or extroverted is ____  (rejected or not rejected). 7. The chi-square test for independenceA social psychologist is interested in finding out whether people who self-identify as introverted are more likely to attend certain types of colleges. Hesurveys college-bound graduating seniors and asks them what type of college they plan to attend and whether or not they consider themselvesintroverted.The following frequency distribution table summarizes the responses to the two survey questions.College TypeFour-YearCommunity orAgricultural, Technical, orLiberal Arts CollegeUniversityJunior CollegeSpecialized CollegeOtherTotalExtroverted21834625582910Introverted411111254821346Total259457380130301,256The 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 heself-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 Extroverted/LiberalArts College 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 thesquared difference between the expected and observed frequencies for that particular category, divided by the expected frequency-that is, (fo - fe)² /fe. The contribution of the Extroverted/Liberal Arts College category isThe work of computing the contributions of each of the remaining nine categories has been done for you. The other nine categories combinedcontribute 53.600 to the chi-square test statistic. The value of the test statistic is therefore x2Use the Distributions tool to answer the questions that follow.Chi-Square DistributionDegrees of Freedom = 6T5789.101112131415x2

Accepted Answer

Answered: Image /qna-images/answer/48f13754-0874-4fe6-9a85-82bffa6faba1.jpg