ChiSquared Test of AssociationIndependance A survey was cond

Chi-Squared Test of Association/Independance

A survey was conducted of 200 people and their responses were categorized by party affiliation and opinion on gun control. The results are shown in this table.

A) Fill in the table below with the expected counts

B) Based on this sample, does a person\'s opinion on gun control depend on party affiliation, at the .05 level of significance?

Observed Favor Oppose Unsure Total
Democrat 44 48 18 110
Republican 32 48 10 90
Total 76 96 28 200

Solution

(A)

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(B) Null hypothesis: a person\'s opinion on gun control do not depend on party affiliation

Alternative hypothesis: a person\'s opinion on gun control depend on party affiliation

The test statistic is

chisquare=2.20

the degree of freedom =2

the p-value=0.3325 (from chisquare table)

Since the p-value is larger than 0.05, we do not reject the null hypothesis.

So we can not conclude that a person\'s opinion on gun control depend on party affiliation

Favor   Oppose   Unsure   Total  
Democrat Observed   44 48 18 110
Expected   41.80 52.80 15.40 110.00
Republican Observed   32 48 10 90
Expected   34.20 43.20 12.60 90.00
Total Observed   76 96 28 200
Expected   76.00 96.00 28.00 200.00
Chi-Squared Test of Association/Independance A survey was conducted of 200 people and their responses were categorized by party affiliation and opinion on gun c

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