SOLUTION: A sample is taken prior to a major Election of likely voters. The null hypothesis is that the votes will be split 50/50. One candidate gets 54% of the support in the sample, and

Question 135532: A sample is taken prior to a major Election of likely voters. The null hypothesis is that the votes will be split 50/50. One candidate gets 54% of the support in the sample, and the P-value for this sample is calculated to be 0.12. What is the correct interpretation of the P-value?
A)There is a 95% probability that the true population percentage is 54% plus/minus 12%.
B)The candidate has only a 12% chance of loosing the election.
C)Assuming that the true percentage actually supporting the candidate is 50%, there is a 0.12 probability that a sample will show results of 54% or greater.
D)12% of the votes in the upcoming election are uncertain, the rest can be estimated.

Answer by stanbon(48568) (Show Source):
You can put this solution on YOUR website!
Answer: C
The p-value always tells you how much stronger evidence there is that
Ho is false. So if p-value is very small you would have little chance
of building a stronger argument against Ho. But if p-value is large
there are many, many test results that would give you more evidence
to reject Ho---so you might not choose to reject it.
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Cheers,
Stan H.