## anonymous one year ago PLEASE HELP! The claim is that the proportion of peas with yellow pods is equal to 0.25 (or 25%). The sample statistics from one experiment include 570 peas with 156 of them of them having yellow pods. Find the value of the test statistic.

1. anonymous

That test statistic for a proportion is $Z=\frac{\hat{p}-p_0}{\sqrt{\dfrac{p_0(1-p_0)}{n}}}$ where $$\hat{p}=\dfrac{156}{570}\approx0.274$$ is the sample proportion, $$p_0=0.25$$ is the proportion assumed under the null hypothesis, and $$n=570$$ is the sample size.

2. anonymous

So how would I obtain the value size?

3. anonymous

All you have to do is plug in the right numbers and compute. $\frac{0.274-0.25}{\sqrt{\dfrac{0.25(1-0.25)}{570}}}$ http://www.wolframalpha.com/input/?i=%280.274-0.25%29%2FSqrt%5B0.25%281-0.25%29%2F570%5D

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