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Math Help - Two sample test Hypothesis

  1. #1
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    Two sample test Hypothesis

    When does this stuff get easier??

    A random sample of 400 policies written on single persons revealed 120 had at least one accident in the previous three year period. Similarly, a sample of 600 policies written on married persons revealed that 150 had been in at least one accident. At the .05 significance level, is there a significant difference in the proportions of single and married persons having an accident during a three-year period?
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  2. #2
    MHF Contributor matheagle's Avatar
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    This is clearer. It's a two sided test of a difference of binomial probabilities.

    _s=p_m" alt="H_0_s=p_m" /> vs. _s\ne p_m" alt="H_a_s\ne p_m" />

    Rejection region is (-\infty, -1.96) \cup (1.96,\infty )

    Test stat is {\hat p_s-\hat p_m\over \sqrt{ {\hat p_s\hat q_s\over n_s} +{\hat p_m\hat q_m\over n_m}}}

    Where  n_s=400 and \hat p_s={120\over 400}.

    Likewise  n_m=600 and \hat p_m={150\over 600}.
    Last edited by matheagle; June 24th 2009 at 06:54 AM.
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