SOLUTION: A genetic experiment with peas resulted in one sample of offspring that consisted of 409 green peas and 156 yellow peas. a. Construct a 95​% confidence interval to estimate of t

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Question 1156140: A genetic experiment with peas resulted in one sample of offspring that consisted of 409 green peas and 156 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?
a. Construct a 95​% confidence interval. Express the percentages in decimal form.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
sample mean is 156/565=0.2761
half interval is z(0.975)* sqrt (.2761*7239)/565)=1.96*0.0188=0.0369
the interval (0.239, 0.313) or (23.9% 31.3%)
Since 25% is in the interval, the results do not contradict expectations.