SOLUTION: A genetic experiment with peas resulted in one sample of offspring that consisted of 431 green peas and 156 yellow peas. a. Construct a 90% confidence interval to estimate of the

Algebra ->  Probability-and-statistics -> SOLUTION: A genetic experiment with peas resulted in one sample of offspring that consisted of 431 green peas and 156 yellow peas. a. Construct a 90% confidence interval to estimate of the       Log On


   

Question 1175598: A genetic experiment with peas resulted in one sample of offspring that consisted of 431 green peas and 156 yellow peas.
a. Construct a 90% 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 ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi

a) p(yellow) 156/ 587 = .2657

b) Ho   p = .25 expectations
   Ha   p > .25
z+=blue+%28x+-+mu%29%2Fsqrt%28blue%28p%281-p%29%2Fn%29%29
z+=blue+%28.0157%29%2Fsqrt%28blue%28.25%28.75%29%2F587%29%29
   z = .878
  P(z .878) = .81  
  90% confidence Interval. 
  .81 > .10 Fail to reject Ho
 Evidence supports the expectation that μ = .25

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