A social psychologist is interested in finding out whether people who self-identify as shy are more likely to attend certain types of colleges. She 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 Liberal Arts College Four-Year University Community or Junior College Agricultural, Technical, or Specialized College Other Total Not 73 155 82 582 18 910 Shy Shy 35 24 Total 108 179 7 89 239 821 41 346 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 she 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 she self-identifies as shy, then the expected frequency for the Not Shy/Community or Junior 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 Not Shy/Community or Junior 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 Not Shy/Community or Junior 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 84.738 to the chi-square test statistic. The value of the test statistic is therefore X² = 89.497 Use the Distributions tool to answer the questions that follow. Chi-Square Distribution Degrees of Freedom = 6 T T T T 5 6 7 9 10 11 12 13 14 15 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 she self- identifies as shy.

A social psychologist is interested in finding out whether people who self-identify as shy are more likely to attend certain types of colleges. She 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 Liberal Arts College Four-Year University Community or Junior College Agricultural, Technical, or Specialized College Other Total Not 73 155 82 582 18 910 Shy Shy 35 24 Total 108 179 7 89 239 821 41 346 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 she 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 she self-identifies as shy, then the expected frequency for the Not Shy/Community or Junior 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 Not Shy/Community or Junior 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 Not Shy/Community or Junior 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 84.738 to the chi-square test statistic. The value of the test statistic is therefore X² = 89.497 Use the Distributions tool to answer the questions that follow. Chi-Square Distribution Degrees of Freedom = 6 T T T T 5 6 7 9 10 11 12 13 14 15 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 she self- identifies as shy.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 4BGP

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I have trouble finding some values for the following question and would really appreciate some help. Pls explain and make sure everything is correct 1000% thank you

The options I got for expected frequency ( 58.833, 68.214, 64.482, 65.218) and for the contribution of the Not Shy/ community ..... ( 4.821, 4.675, 4.520, 4.759) PLs help !!