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    Significance Pattern and Hypothesis Testing

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    1. The share of the national car manufacturers market in South Africa is shown in the table below:

    MANUFACTURER % OF SHARES

    VW 37
    Toyota 30
    Delta 15
    BMW 10
    Mercedes 8

    A random sample of 2000 car owners in Pretoria revealed the following ownership pattern:

    VW = 758 Toyota = 680 Delta = 300 BMW = 162 Mercedes = 100

    Does the ownership pattern differ significantly from the National pattern?
    Investigate at the 5% level of significance.

    2. It is believed that call center operators should spend no longer than 10 minutes on each call, however a survey involving a random sample of 49 operators found a mean call duration of 11 minutes with a standard deviation of 3 minutes. Test the Hypothesis at the 1% level of significance.

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    https://brainmass.com/statistics/hypothesis-testing/significance-pattern-hypothesis-testing-154544

    Solution Preview

    See the attached file please.

    1. The share of the national car manufcturers market in South Africa is
    shown in the table below:

    MANUFACTURER % OF SHARES

    VW 37
    Toyota 30
    Delta 15
    BMW 10
    Mercedes ...

    Solution Summary

    This solution provides the null and alternative hypothesis and conducts a chi-squared test and z-test to determine the test static which will be compared to the p-value. A decision is made to accept or reject the null hypothesis.

    $2.19

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