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Math Help - Hypothesis Testing

  1. #1
    camsin
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    Hypothesis Testing

    Hey there.

    I have a question I'm not sure about..

    "In a court case on the age at which men and women should purchase alcohol, data were examined from a "random roadside survey" which measured information on age, gender, and drinking behaviour. Of those aged under 20 years, the numbers who drank alcohol in the previous 2 hours were recorded as follows:

    Drank alcohol in the past 2 hours?
    Males Yes = 77
    Males No = 404
    Total Males = 481
    Females Yes = 16
    Females No = 122
    Total Females = 138

    a) How much evidence do these data provide that there is a difference in the population proportions of males and females in this age group who drink alcohol and drive within 2 hours? Evaluate the evidence using an appropriate hypothesis test and state your conclusions concisely.

    b)What assumptions are required for this hypothesis test?"


    I know how to do the basic null hypothesis/alternative hypothesis and the p-value testing, but I'm not sure how to work it out in this question, when it has to do with proportions with those figures.

    Any help would be appreciated.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by camsin View Post
    Hey there.

    I have a question I'm not sure about..

    "In a court case on the age at which men and women should purchase alcohol, data were examined from a "random roadside survey" which measured information on age, gender, and drinking behaviour. Of those aged under 20 years, the numbers who drank alcohol in the previous 2 hours were recorded as follows:

    Drank alcohol in the past 2 hours?
    Males Yes = 77
    Males No = 404
    Total Males = 481
    Females Yes = 16
    Females No = 122
    Total Females = 138

    a) How much evidence do these data provide that there is a difference in the population proportions of males and females in this age group who drink alcohol and drive within 2 hours? Evaluate the evidence using an appropriate hypothesis test and state your conclusions concisely.

    b)What assumptions are required for this hypothesis test?"


    I know how to do the basic null hypothesis/alternative hypothesis and the p-value testing, but I'm not sure how to work it out in this question, when it has to do with proportions with those figures.

    Any help would be appreciated.
    Perhaps the two proportion z-test with unequal variances from this page.

    RonL
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