Question 74164: Inspection of student data generated during pre/post treatment surveys shows that among 10 subjects, 7 had higher scores after an experimental treatment, 2 had lower scores, and 1 score did not change. Using the traditional method of hypothesis testing, we need to determine if the experimental course has any effect. Use an alpha level of .01. If the computed test statistic is 2.36, what is the critical value (2 decimal places of significance, and did the experimental course make a difference (Yes or No))?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Inspection of student data generated during pre/post treatment surveys shows that among 10 subjects, 7 had higher scores after an experimental treatment, 2 had lower scores, and 1 score did not change. Using the traditional method of hypothesis testing, we need to determine if the experimental course has any effect. Use an alpha level of .01. If the computed test statistic is 2.36, what is the critical value (2 decimal places of significance, and did the experimental course make a difference (Yes or No))?
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Based on the words "has any effect" you could make Ho the following:
Ho: u(before)=u(after)
Ha: u(before is not equal to u(after)
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Then you have a two-tailed test.
If alpha=1% the critical values are +-2.576
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If the test statistic is 2.36 you should "Fail to reject Ho".
You should conclude "the treatment made no difference".
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Cheers,
Stan H.
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