Question 1169497: Provide an appropriate response.
Gary is conducting a hypothesis test concerning a population mean. The hypotheses are as follows.
Null hypothesis: population mean = 60
Alternative hypothesis: population mean > 60
He selects a sample and finds that the sample mean is 64.2. He then does some calculations and is able to make the following statement:
If the population mean were 60, the chance that the sample mean would have come out as big as 64.2 or bigger is 0.3. Do you think that He should reject the null hypothesis? Why or why not?
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! probably not.
if the rejection region was set at 30% or greater, then the null hypothesis would be rejected.
if the rejection region was set at something less than 30%, then there would not be enough evidence to reject the null hypothesis.
when you do a test, you set the rejection region ahead of time.
it is usually 1% or 5% or 10%.
it could be set higher, but it is typically not.
the rejection region is the critical alpha.
if the alpha of your test is greater than the critical alpha, you don't have enough evidence to reject the null hypothesis.
if the alpha of your test is less than the critical alpha, then you are in the rejection region and you would consider that you have enough evidence to reject the null hypothesis.
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