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    Chi-Square Test for Proportions

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    The Chi-Square test for proportions is illustrated using the following example.

    During the first 13 weeks of the television season, the Saturday evening 8:00 p.m. to 9:00 p.m. audience proportions were recorded as ABC 29%, CBS 28%, NBC 25%, and independents 18%. A sample of 300 homes two weeks after a Saturday night schedule revision yielded the following viewing audience data: ABC 95 homes, CBS 70 homes, NBC 89 homes, and independents 46 homes.

    Test with a= 0.05 to determine whether the viewing audience proportions changed.

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    https://brainmass.com/statistics/chi-squared-test/chi-square-test-proportions-493418

    Solution Preview

    Please see the attachments for the complete solution.

    The Chi-Square test for proportions is illustrated using the p-value approach and traditional approach.

    Solution

    The null and alternative hypotheses are
    H0: pABC = 0.29, pCBS = 0.28, pNBC = 0.25, pIND = 0.18
    Ha: The proportions are not pABC = 0.29, pCBS = 0.28, pNBC = 0.25, pIND = 0.18
    The test statistic is given by,
    (please see ...

    Solution Summary

    In this solution a chi-square test is used to determine whether there was a change in proportions.

    $2.19

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