Question 133034: Professor Greens multiple choice test had 50 questions with the distribution of correct answers shown below. At a -.50 can you reject the hypothesis that Prof. Greens exam answers came from a uniform population.?
a 8
b 8
c 9
d 11
e 14
total 50
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Professor Greens multiple choice test had 50 questions with the distribution of correct answers shown below. At a -.50 can you reject the hypothesis that Prof. Greens exam answers came from a uniform population.?
a 8
b 8
c 9
d 11
e 14
total 50
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Ho: The proportions are all equal
Ha: At least one of the proportions is different.
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Run a Chi-Sq on the data with Expected value for a,b,c,d,e = 10
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To generate the test statistic:
1. Find (observed - expected)^2/expected for a,b,c,d,e
2. Add those results
Test statistic = 2.6
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Critical value for 1-tail Chi-Sq with alpha=5% and df=10-1=9 is 16.919
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Since 2.6 < 16.919, Fail to reject Ho.
The proportions are equal; the distribution is statistically uniform.
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Cheers,
Stan H.
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