Question

A genetic experiment with peas resulted in one sample of offspring that consisted of 404 green peas and 154 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 1

Solution -

we have given

greeen peas = 404

yellow peas(X) = 154

Total peas (n) = 404 + 154 = 558

a) 90% Confidence Interval is

( 0.24 , 0.31 )

Calculation-

b) The results are not contradict the expectations.

Because interval contain 0.25.

so it is expected that 25% offspring peas would be yellow.