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7) A genetic experiment involving peas yielded one sample of offspring consisting of429 green peas and 147 yellow peas. Use a0.05 significance level to test the claim that under the samecircumstances, 27%of offspring peas will be yellow. Identify the nullhypothesis, alternativehypothesis, teststatistic, P-value, conclusion about the nullhypothesis, and final conclusion that addresses the original claim. Use theP-value method and the normal distribution as an approximation to the binomial distribution.

• What are the null and alternativehypotheses?

Z= (Round to two decimal places asneeded.)

• What is theP-value?

P-value=

(Round to four decimal places asneeded.)

• What is the conclusion about the nullhypothesis?

Fail to reject OR reject the null hypothesis ?

• What is the finalconclusion?

There is OR is not sufficient data