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 419 green peas and 142 yellow peas. Use a 0.05 significance level to test the claim that under the same circumstances, 26 % 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

Here H0: p=0.26 vs H1: p not equal to 0.26

Estimate p=142/419=0.34

So SE(p)=sqrt(p(1-p)/n)=sqrt(0.26*0.74/419)=0.02143

So z=(p-p0)/SE(p0)=3.73

The P-Value is 0.000191.

As p value is < alpha so we reject Ho. Hence p is not 0.26

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.