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Math Help - Hypothesis - please help

  1. #1
    Mar 2012

    Hypothesis - please help

    Could you please help me answer this question on Hypothesis

    Blue Green Grey Brown
    UV 0 23 27 19 33
    UV 1 35 16 20 20
    UV 2 30 26 15 23
    UV 3 54 23 21 15

    data set contains the results of scientific tests performed on a sample of 400 inhabitants of Transylvania, who were selected at random from the population of that region. Eye colour was classified as follows: blue; green; grey; brown. Reaction to controlled exposure of ultraviolet light at a given fixed intensity was classified as follows:

    uv0 = mild reaction;
    uv1 = moderate reaction;
    uv2 = severe reaction;
    uv3 = extremely severe reaction.

    Consider the following pair of hypotheses:

    H0: ultraviolet light sensitivity is independent of eye colour ;
    H1: ultraviolet light sensitivity is not independent of eye colour .

    Using a suitable hypothesis test - based on the above hypotheses, and performed at the 5% significance level - on your individual dataset, investigate the independence of the eye colour of a Transylvanian and their reaction to ultraviolet light.
    Your answers to parts (a),(b) and (c) should be given correct to three decimal place
    (a). Enter the critical value:
    (b). Enter the expected frequency (under the assumption that the null hypothesis is true) for the cell (UV0,Brown):
    (c). Enter the value of the test statistic:
    (d). Select the hypothesis test decision, based on your answers to parts (a) and (c): reject or dont reject H0?
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  2. #2
    Junior Member MathVideos's Avatar
    Mar 2012

    Re: Hypothesis - please help

    What specifically are you having trouble understanding? I don't feel that it would be justified for me to just do the problem, but perhaps I can help you understand it better.
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