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    Test of Hypothesis for difference in proportions

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    A random sample of 200 workers from Factory A showed that 130 were satisfied with their job. Another random sample of 125 workers from Factory B showed that 70 were satisfied with their job. Can it be concluded that the proportion of satisfied workers in Factory A is greater than in Factory B?
    Formulate and test the appropriate hypotheses at the 1% level of significance

    © BrainMass Inc. brainmass.com November 30, 2021, 12:01 am ad1c9bdddf
    https://brainmass.com/statistics/hypothesis-testing/16450

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    Null Hypothesis: H0: p1=p2
    There is no difference between the proportion of satisfied workers of the two factories
    Alternative Hypothesis: H1: p > p2
    Proportion of satisfied workers in Factory A is greater than in Factory B

    p=proportion satisfied with their jobs
    n=sample size

    Factory A
    n1= 200
    p1= 65% =130/200
    q1=1-p1= 35%

    Factory B
    n2= 125
    p2= 56% =70/125
    q2=1-p2= 44%

    difference= 9% =65%-56%

    Best estimate of the overall proportion of success ...

    Solution Summary

    The solution formulates and tests the hypothesis that the proportion of satisfied workers in Factory A is greater than in Factory B.

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