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 Extroverted/Liberal Arts 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 53.600 to the chi-square test statistic. The value of the test statistic is therefore x2 = Use the Distributions tool to answer the questions that follow. Chi-Square Distribution Degrees of Freedom = 6 7 8 9 10 11 12 13 14 15

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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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 independence
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
Four-Year
Community or
Agricultural, Technical, or
Liberal Arts College
University
Junior College
Specialized College
Other
Total
Extroverted
218
346
255
82
910
Introverted
41
111
125
48
21
346
Total
259
457
380
130
30
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 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/Liberal
Arts College category is
Transcribed Image Text:7. The chi-square test for independence 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 Four-Year Community or Agricultural, Technical, or Liberal Arts College University Junior College Specialized College Other Total Extroverted 218 346 255 82 910 Introverted 41 111 125 48 21 346 Total 259 457 380 130 30 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 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/Liberal Arts 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 Extroverted/Liberal Arts 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 53.600 to the chi-square test statistic. The value of the test statistic is therefore x2
Use the Distributions tool to answer the questions that follow.
Chi-Square Distribution
Degrees of Freedom = 6
T
5
7
8
9.
10
11
12
13
14
15
x2
Transcribed Image Text: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 Extroverted/Liberal Arts 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 53.600 to the chi-square test statistic. The value of the test statistic is therefore x2 Use the Distributions tool to answer the questions that follow. Chi-Square Distribution Degrees of Freedom = 6 T 5 7 8 9. 10 11 12 13 14 15 x2
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