Question

A genetic experiment with peas resulted in one sample of offspring that consisted of 444 green peas and 165 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 1

total number of peas=n=444+165=609

number of yellow peas =x=165

so sample proportion is given by

a)

we have to create 90% confidence interval for proportion which is given by

so interval is (0.24,0.30)

b)

as expectation is 0.25

since confidence interval created in part (a) contain 0.25 so we can't reject the possibility of proportion equal to 0.25 hence result do not contradict the expectations.