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    Finding statistic, critical value and p value: Example problem

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    Suppose a study is constructed to test a claim, at a 0.05 significance level that a population proportion is 40%.

    A simple random sample of 750 subjects has a proportion of 42%.

    Determine the test statistic, critical value z = + or -, determine the p value.

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    https://brainmass.com/statistics/hypothesis-testing/statistic-critical-value-p-value-example-problem-214936

    Solution Preview

    Find statistic, critical value and p value

    Suppose a study is constructed to test a claim, at a 0.05 significance level that a population proportion is 40%.

    A simple random sample of 750 subjects has a proportion of 42%.

    Determine the test statistic, critical value z = + or -, determine the p value.

    Let be the unknown population proportion.

    The estimate of is the sample proportion .

    0.420 (Where 315, and 750)

    The null and alternative hypotheses:

    0.40
    0.40

    The test statistic:

    1.12 ( 0.42, 0.40, and ...

    Solution Summary

    The solution tests a claim at 0.05 significance level. The test statistic and p-value is determined.

    $2.49

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