Use the Distributions tool to answer the questions that follow.Chi-Square DistributionDegrees of Freedom = 656789101112131415Use a significance level of a = 0.01 to conduct the test of the hypothesis that a student's choice of college type is independent of whether he self-identifies as shy.According to the critical value approach, you reject the null hypothesis if x2 >The null hypothesis that a student's choice of college type is independent of whether a student is shy or not shy isrejected A social psychologist is interested in finding out whether people who self-identify as shy are more likely to attend certain types of colleges. He surveyscollege-bound graduating seniors and asks them what type of college they plan to attend and whether or not they consider themselves shy.The following frequency distribution table summarizes the responses to the two survey questions.College TypeLiberal ArtsCommunity orJunior CollegeFour-YearAgricultural, Technical, orCollegeUniversitySpecialized CollegeOtherTotalNot731558258218910ShyShy3524723941346Total10817989821591,256The 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 shy.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 shy, then the expected frequency for the Shy/Four-Year Universitycategory isWhen 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 Shy/Four-Year University category isThe work of computing the contributions of each of the remaining nine categories has been done for you. The other nine categories combinedcontribute 76.505 to the chi-square test statistic. The value of the test statistic is therefore x2 =89.497

Given information: Significance value α=0.01 The given information can be summarized in the…

A social psychologist is interested in finding out whether people who self-identify as shy 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 shy. The following frequency distribution table summarizes the responses to the two survey questions. College Type Agricultural, Technical, or Specialized College Liberal Arts Four-Year Community or College University Junior College Other Total Not 73 155 82 582 18 910 Shy Shy 35 24 239 41 346 Total 108 179 89 821 59 1,256 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 shy. 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 shy, then the expected frequency for the Shy/Four-Year 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 )2 / fe. The contribution of the Shy/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 76.505 to the chi-square test statistic. The value of the test statistic is therefore y2 = 89.497 ▼

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 13PT