SOLUTION: A novel tooth whitening agent was created and researchers wanted to test if it worked. A measure of tooth whiteness, the WIO whiteness index (a numerical measure), was obtained on

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Question 220268: A novel tooth whitening agent was created and researchers wanted to test if it worked. A measure of tooth whiteness, the WIO whiteness index (a numerical measure), was obtained on day 1 for 8 study subjects. They then used the tooth whitening agent for 1 week and tooth whiteness was measured again. Assume the tooth whiteness measure was normally distributed.
Suppose the p-value for the test was .043. What would your conclusion be assuming you wanted a Type I error of 0.01?
Answer by stanbon(75887) About Me  (Show Source):
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A novel tooth whitening agent was created and researchers wanted to test if it worked. A measure of tooth whiteness, the WIO whiteness index (a numerical measure), was obtained on day 1 for 8 study subjects. They then used the tooth whitening agent for 1 week and tooth whiteness was measured again. Assume the tooth whiteness measure was normally distributed.
Suppose the p-value for the test was .043. What would your conclusion be assuming you wanted a Type I error of 0.01?
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The objective implies a one-tail test with 1% in that tail.
Since the p-value is greater than 1% you would fail to reject
Ho. You would conclude the whitener was ineffective at the
1% significant level.
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Cheers,
Stan H.
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