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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. Not Shy Shy Total Liberal Arts College 73 35 108 Four-Year University 155 24 179 Community or Junior College 82 89 College Type Fill in the three missing values in the frequency distribution table. Agricultural, Technical, or Specialized College 582 239 Other 18 41 59 Total 910 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. If a student's choice of college type is independent of whether he self-identifies as shy, then the expected frequency for the Shy/Agricultural, Technical, or Specialized 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 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/Agricultural, Technical, or Specialized College 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 88.769 to the chi-square test statistic. The value of the test statistic is therefore x² =

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. Not Shy Shy Total Liberal Arts College 73 35 108 Four-Year University 155 24 179 Community or Junior College 82 89 College Type Fill in the three missing values in the frequency distribution table. Agricultural, Technical, or Specialized College 582 239 Other 18 41 59 Total 910 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. If a student's choice of college type is independent of whether he self-identifies as shy, then the expected frequency for the Shy/Agricultural, Technical, or Specialized 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 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/Agricultural, Technical, or Specialized College 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 88.769 to the chi-square test statistic. The value of the test statistic is therefore x² =

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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. Not Shy Shy Total Liberal Arts College 73 35 108 Four-Year University 155 24 179 Community or Junior College 82 7 89 College Type Fill in the three missing values in the frequency distribution table. Agricultural, Technical, or Specialized College 582 239 Other 18 41 59 Total 910 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. If a student's choice of college type is independent of whether he self-identifies as shy, then the expected frequency for the Shy/Agricultural, Technical, or Specialized 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 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/Agricultural, Technical, or Specialized College 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 88.769 to the chi-square test statistic. The value of the test statistic is therefore x²
Transcribed Image Text: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. Not Shy Shy Total Liberal Arts College 73 35 108 Four-Year University 155 24 179 Community or Junior College 82 7 89 College Type Fill in the three missing values in the frequency distribution table. Agricultural, Technical, or Specialized College 582 239 Other 18 41 59 Total 910 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. If a student's choice of college type is independent of whether he self-identifies as shy, then the expected frequency for the Shy/Agricultural, Technical, or Specialized 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 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/Agricultural, Technical, or Specialized College 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 88.769 to the chi-square test statistic. The value of the test statistic is therefore x²
Use 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 is
Transcribed Image Text:Use 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 is
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