METHODS OF DATA ANALYSIS
DECISION MAKING WITH HYPOTHESIS TESTING
Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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If a sample mean is in the critical region with alpha level 0.01, it would still(always) be in the critical region if alpha were changed to 0.05?
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True
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False
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Either A or B
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None of the above
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Explanation:
Detailed explanation-1: -If a sample mean is beyond the 0.01 boundary it is definitely beyond the 0.05 boundary. If a sample mean is in the critical region with a = 0.01, it would still (always) be in the critical region if alpha were changed to a =0.05.
Detailed explanation-2: -The alpha level is typically set at 0.05, which means that there is a 5% chance of incorrectly rejecting the null hypothesis (i.e., concluding that there is a difference in pain reduction when there actually isn’t) in the long term.
Detailed explanation-3: -For a two tailed test, use /2 = 0.05 and the critical region is below z =-1.645 and above z = 1.645.
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