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Math Help - Stats problem help

  1. #1
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    Stats problem help

    150 adults who tried a new peach flavored peppermint patty, 87 rated it ecellent. Of 200 children sampled , 123 rated it excellent, Using the .10 level of significance, can we conclude that there is a significant difference in the proportion of adults and the proportion of children who rate the new flavor excellent?

    Im trying to find the P value and explain what is mean in terms of this problem?
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  2. #2
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    H_{0}:P_{1}=P_{2}
    H_{a}:P_{1}\neq{P_{2}}

    p=0.5083

    Since p>0.1, then do not reject the null hypothesis.

    There is not enough evidence to conclude there is a difference.

    The lower the p-value, the more evidence of rejecting the null hyp. The p-value gives the powest level of significance for which the sample statistic allows you to reject the null hyp.

    For a two-tail test, the p value is found by 2(area in tail of test statistic)

    The test stat is -0.6614. Look up the corresponding value in the body of the table or by a calculator and we see we get 0.254. 2(.254)=0.508

    I have an Excel macro I use for most all my stats needs. I do not go through those cumbersome formulas. It's rather pointless considering the tech we have these days.
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