SOLUTION: A genetic experiment with peas resulted in one sample of offspring that consisted of 439 green peas and 157 yellow peas. a. Construct a 95​% confidence interval to estimate o

Algebra ->  Probability-and-statistics -> SOLUTION: A genetic experiment with peas resulted in one sample of offspring that consisted of 439 green peas and 157 yellow peas. a. Construct a 95​% confidence interval to estimate o      Log On


   

Question 1155760: A genetic experiment with peas resulted in one sample of offspring that consisted of 439 green peas and 157 yellow peas.

a. Construct a 95​% confidence interval to estimate of the percentage of yellow peas.
b. It was expected that​ 25% of the offspring peas would be yellow. Given that the percentage of offspring yellow peas is not​ 25%, do the results contradict​ expectations?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
half-interval is sample mean +/- 1.96*sqrt(p*(1-p)/n)
x bar is (157/596)=0.263
sqrt(.263*.737)=sqrt (0.000325)=0.0180
half-interval is 0.035
95%CI is (0.228, 0.298)
Since 0.25 is in the interval the results do not contradict expectations.