A genetic experiment involving peas yielded one sample of offspring consisting o

Question

A genetic experiment involving peas yielded one sample of offspring consisting of 416 green peas and 153 yellow peas. Use a 0.05 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.

Explanation / Answer

Ho: p = .26
Ha: p .26
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sample proportion = p-hat = 153/569 = 0.27

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test stat:: z(0.27) = (0.27-0.24)/sqrt[0.24*0.76/598] = 1.1718
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