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Fundamentals of Statistics | 4th Edition | ISBN: 9780321838704 | Authors: Michael Sullivan,III
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Chapter , Problem 20AYU

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QUESTION:

Sullivan Statistics Survey In the Sullivan Statistics Survey, respondents were asked to disclose their political philosophy (Conservative, Moderate, Liberal) and also answer the following question: “Is a language other than English the primary language spoken in your home?” Create a contingency table and determine whether the results suggest there is an association between political philosophy and whether a language other than English is primarily spoken at home. Use the \(\alpha=0.05\) level of significance.

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QUESTION:

Sullivan Statistics Survey In the Sullivan Statistics Survey, respondents were asked to disclose their political philosophy (Conservative, Moderate, Liberal) and also answer the following question: “Is a language other than English the primary language spoken in your home?” Create a contingency table and determine whether the results suggest there is an association between political philosophy and whether a language other than English is primarily spoken at home. Use the \(\alpha=0.05\) level of significance.

ANSWER:

Answer:

Step 1 of 2

In this problem, data from sullivan statistics survey is used. The data columns used are the  political philosophy (Conservative, Moderate, Liberal) and language.

We need to construct contingency table for the two given variables namely, political philosophy (Conservative, Moderate, Liberal) and language.

Enter the values of Language and political philosophy into two columns

 Language

                       Political philosophy

Conservative

Moderate

Liberal

Total

Yes

6

11

9

26

No

47

82

44

173

Total

53

93

53

199

= 6.92      = 12.15

= 6.92     = 46.07

= 80.84    = 46.07

O

E

(O - E)2 

(O-E)2/E

6

6.92

0.8464

0.122312

11

12.15

1.3225

0.108848

9

6.92

4.3264

0.625202

47

46.07

0.8649

0.018774

82

80.84

1.3456

0.016645

44

46.07

4.2849

0.093008

SUM

199

198.97

12.9907

0.984789

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