Question 1078116: A genetic experiment with peas resulted in one sample of offspring that consisted of 403 green peas and 159 yellow peas.
Construct a 95% confidence interval to estimate of the percentage of yellow peas.
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)   (Show Source):
You can put this solution on YOUR website! This is a one sample proportion CI with point estimate of 0.2823
95% interval is difference from postulated 1.96 +/- sqrt (p*(1-p))/n
or the CI of the difference 0.033 +/- 1.96* sqrt (.25*75/562); sqrt term is 0.0183
interval is 0.03587
(-0.0028, 0.0688)is CI of difference and contains 0.
CI of the proportion is (0.2464, 0.3182)
The CI contains the parameter of 0.25, so there is no contradiction.
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