SOLUTION: If a researcher wishes to determine whether there is evidence that the mean family income in the US is greater than 30,000 then: a) A one tailed test should be utilized b) a tw

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Question 327332: If a researcher wishes to determine whether there is evidence that the mean family income in the US is greater than 30,000 then:
a) A one tailed test should be utilized
b) a two tailed test should be utilized
c) Either a one tailed or a two tailed test could be utilized since they are equivalent
d) none of the above
Please explain so I can understand Thanks.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
If a researcher wishes to determine whether there is evidence that the mean family income in the US is greater than 30,000 then:
The correct hypothesis setup would be:
Since "equality" must ALWAYS be in the Ho statement,
Ho: u <= 30,000
Ha: u > 30,000
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The Ha statement determines the kind of test.
If Ha is a "not equal to" statement, the test is 2-tail
If Ha is a "<" statement, the test is left tail
If Ha is a ">" statement, the test is right tail.
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Your problem is a right tail test.
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Cheers,
Stan H.
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a) A one tailed test should be utilized
b) a two tailed test should be utilized
c) Either a one tailed or a two tailed test could be utilized since they are equivalent
d) none of the above
Please explain so I can understand Thanks.

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