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If we are testing the hypothesis H0: p = 0.5 vs. H1: p > 0.5 where...

If we are testing the hypothesis H0: p = 0.5 vs. H1: p > 0.5 where p represents the proportion of American adults who would not be concerned if NSA collected records of personal telephone calls. When would you conclude that the data provide enough evidence that the proportion of adults who would not be concerned is 0.5?

A.

Never
B.

When exactly half of the people in the sample say they would not be bothered.
C.

When the p-value for the test is large (greater than 0.05).
D.

When the p-value for the test is small (less than 0.05).
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Answer #1

Correct option:

c When the p - value for the test is large (greater than 0.05)

EXPLANATION:

If p - value is greater than \alpha = 0.05, the difference is not significant. Fail to reject null hypothesis.

Conclusion:
The data provide enough evidence that the proportion of adults would not be concerned is 0.5.

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