Explore BrainMass

Explore BrainMass

    Interpretation of a Statistical Test

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Please help me with the following statistical problem:

    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?

    Is it that there is a 95% probability that the the true population percentage is 54% plus/minus 12%? Or, am I confused about the interpretation?

    © BrainMass Inc. brainmass.com June 3, 2020, 8:08 pm ad1c9bdddf

    Solution Preview

    The null hypothesis is that the candidate will get 50% of the votes (p = 0.50). The alternative hypothesis is that the candidate will get more than 50% of the votes (p > 0.50).

    To test the hypotheses, you took a sample of voters, and 54% of the sample said they would vote for the candidate. Then you did a statistical test (a z-test of proportions) to see if this result was statistically significant, and got a p-value of p = ...

    Solution Summary

    This solution provides a detailed step by step explanation of the given statistics problem.