A genetic experiment involving peas yielded one sample of offspring consisting of 409 green peas and 143 yellow peas. Use a 0.01 significance level to test the claim that under the same​ circumstances, 24% of offspring peas will be yellow. Identify the null​ hypothesis, alternative​ hypothesis, test​ statistic, P-value, conclusion about the null​ hypothesis, and final conclusion that addresses the original claim. Use the​ P-value method and the normal distribution as an approximation to the binomial distribution.   a.  What is the test​ statistic? z equals ​(Round to two decimal places as​ needed.)   b.  What is the​ P-value? P-value equals ​(Round to four decimal places as​ needed.)

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A genetic experiment involving peas yielded one sample of offspring consisting of 409 green peas and 143 yellow peas. Use a 0.01 significance level to test the claim that under the same​ circumstances, 24% of offspring peas will be yellow. Identify the null​ hypothesis, alternative​ hypothesis, test​ statistic, P-value, conclusion about the null​ hypothesis, and final conclusion that addresses the original claim. Use the​ P-value method and the normal distribution as an approximation to the binomial distribution.

 
a.  What is the test​ statistic?
z equals ​(Round to two decimal places as​ needed.)
 
b.  What is the​ P-value?
P-value equals
​(Round to four decimal places as​ needed.)
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