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A researcher selected a sample of students on the LSU campus and collected information on their...

A researcher selected a sample of students on the LSU campus and collected information on their political affiliations. Use the following data and test the hypothesis that students are equally likely to be democrat, republican or independent:

Political Party Affiliation

Number of LSU students in the sample who selected…

Democrat

50

Republican

75

Independent

175
Math   Statistics-And-Probability   
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Answer #1

Ans:

Ho: Students are equally likely to be democrat, republican or independent.

Ha:Students are not equally likely to be democrat, republican or independent:

Party Affiliation Observed frequency(fo) Expected frequency(fe) (fo-fe)^2/fe
Democrat 50 100 25.00
Republican 75 100 6.25
Independent 175 100 56.25
Total= 300 300 87.50

Test statistic:

Chi square score=87.50

df=3-1=2

p-value=CHIDIST(87.5,2)=0.0000

As,p-value<0.05,We reject the null hypothesis and we can not conclude that that students are equally likely to be democrat, republican or independent:

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