A political scientist wishes to determine whether votes for governor in a particular election are independent of the voter's political party affiliation. The following table shows the number of vote for Candidates A, B, C, and D received from Democrats, Republicans, and Independents in a simple random sample of voters. Democrat Republican ndependent Column Total Votes for A 88 95 112 295 Votes for B 92 119 91 302 Votes for C 45 38 57 140 Votes for D 155 121 104 380 Row Total 380 373 364 1117 Are votes for governor independent of the political party affiliation of the voter? Test at the 5% significance level.

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Author:Amos Gilat
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Conduct an hypothesis testing using a 5% significance level Using P value or classical approach. Determine whether votes for governor in a particular election are independent of the voter's political party affiliation.
A political scientist wishes to determine whether votes for governor in a particular election
are independent of the voter's political party affiliation. The following table shows the number of votes
for Candidates A, B, C, and D received from Democrats, Republicans, and Independents in a simple
random sample of voters.
Democrat
Republican
Independent
Column Total
Votes for A
88
95
112
295
Votes for B
92
119
91
302
Votes for C
45
38
57
140
Votes for D
155
121
104
380
Row Total
380
373
364
1117
Are votes for governor independent of the political party affiliation of the voter? Test at the 5%
significance level.
Transcribed Image Text:A political scientist wishes to determine whether votes for governor in a particular election are independent of the voter's political party affiliation. The following table shows the number of votes for Candidates A, B, C, and D received from Democrats, Republicans, and Independents in a simple random sample of voters. Democrat Republican Independent Column Total Votes for A 88 95 112 295 Votes for B 92 119 91 302 Votes for C 45 38 57 140 Votes for D 155 121 104 380 Row Total 380 373 364 1117 Are votes for governor independent of the political party affiliation of the voter? Test at the 5% significance level.
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