SOLUTION: A newspaper reports several statistical analyses. It reports that the P-value for a significance test is 0.045. a) Is the result significant at the 5% significance level?

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Question 217619: A newspaper reports several statistical analyses. It reports that the
P-value for a significance test is 0.045.
a) Is the result significant at the 5% significance level?

b). Is the result with P-value 0.045 significant at the 1% level?
c) For another significance test, the newspaper says only that the result was significant at the 1% level. Are such results always, sometimes, or never significant at the 5% level?
d) The report claims there is a 95% confidence interval. Would the margin of error in a 99% confidence interval computed from the same data be less, the same, or greater?

Answer by stanbon(75887) About Me  (Show Source):
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A newspaper reports several statistical analyses. It reports that the
P-value for a significance test is 0.045.
a) Is the result significant at the 5% significance level?
No the test did not reach the significance level of 5%
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b). Is the result with P-value 0.045 significant at the 1% level?
Yes the test reached the significance level of 1%
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c) For another significance test, the newspaper says only that the result was significant at the 1% level. Are such results always, sometimes, or never significant at the 5% level?
Ans: Sometimes If the test meets the 1% significance level it might
or might not meat the 5% significance level.
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d) The report claims there is a 95% confidence interval. Would the margin of error in a 99% confidence interval computed from the same data be less, the same, or greater?
Greater because to have the additional level of confidence the interval
would have to be wider.
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Cheers,
Stan H.