1. ## 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?

2. $\displaystyle H_{0}:P_{1}=P_{2}$
$\displaystyle H_{a}:P_{1}\neq{P_{2}}$

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.