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Perform a Homogeneity of Proportions Test to Test Whether the Population

Question 52

Essay

Perform a homogeneity of proportions test to test whether the population proportions are equal. The hypotheses to be
tested are:
H0: The proportions are equal
Ha: At least one of the proportions is different from the others.
-A random sample of 100 students from 5 different colleges was randomly selected, and the number who smoke
was recorded. The results are listed below. Perform a homogeneity of proportions test to test the claim that the
proportion of students who smoke is the same in all 5 colleges. Use α=0.01\alpha = 0.01  Colleges 12345 Smoker 1825123322 Nonsmoker 8275886778\begin{array} { l | c c c c c } & { \text { Colleges } } \\\hline & 1 & 2 & 3 & 4 & 5 \\\text { Smoker } & 18 & 25 & 12 & 33 & 22 \\\text { Nonsmoker } & 82 & 75 & 88 & 67 & 78\end{array}

Correct Answer:

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Critical value χ blured image = 13.277; chi-square t...

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