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Math Help - Hypothesis testing.

  1. #1
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    Hypothesis testing.

    Question 6 ---A marketing manager in a firm that makes washing-up liquid wants to find out if the lemon-scented and mint-scented versions are equally
    liked by consumers. If they are not equally liked, then the firm may replace the less popular one by a new version.
    Let p be the proportion of customers who prefer the lemon-scented to the mint-scented version. Out of 250 consumers who were interviewed, 145 said that they preferred the lemon-scented washing-up liquid, while the other 105 said that they preferred the mint-scented version.

    (a) State appropriate null and alternative hypotheses.
    (b) Carry out an appropriate hypothesis test at significance level 0.01. Report
    your conclusions.
    (c) What sort of method of data collection was this? Give one concern that a
    statistician might have about the way the data were collected.
    Last edited by mr fantastic; April 30th 2010 at 04:04 PM. Reason: Re-titled.
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  2. #2
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    Quote Originally Posted by gklove56 View Post
    Question 6 ---A marketing manager in a firm that makes washing-up liquid wants to find out if the lemon-scented and mint-scented versions are equally
    liked by consumers. If they are not equally liked, then the firm may replace the less popular one by a new version.
    Let p be the proportion of customers who prefer the lemon-scented to the mint-scented version. Out of 250 consumers who were interviewed, 145 said that they preferred the lemon-scented washing-up liquid, while the other 105 said that they preferred the mint-scented version.

    (a) State appropriate null and alternative hypotheses.
    Well what do you think a suitable null hypothesis is?

    (b) Carry out an appropriate hypothesis test at significance level 0.01. Report
    your conclusions. .
    If the null hypothesis is that there is no difference in preference then the number of customers who prefer lemon has a binomial distribution B(250,0.5)

    CB
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  3. #3
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    Quote Originally Posted by CaptainBlack View Post
    Well what do you think a suitable null hypothesis is?



    If the null hypothesis is that there is no difference in preference then the number of customers who prefer lemon has a binomial distribution B(250,0.5)

    CB
    THANK you, you hit the point
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