Question

A genetic experiment with peas resulted in one sample of offspring that consisted of 430 green peas and 153 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. nothingless thanpless than nothing ​(Round to three decimal places as​ needed.)

b. Given that the percentage of offspring yellow peas is not​ 25%, do the results contradict​ expectations? ​No, the confidence interval includes​ 0.25, so the true percentage could easily equal​ 25% ​Yes, the confidence interval does not include​ 0.25, so the true percentage could not equal​ 25%

Answer 1

Answer:

Given that:

A genetic experiment with peas resulted in one sample of offspring that consisted of 430 green peas and 153 yellow peas.

n= 430 , sample proportion ( ) = 153/ 430

= 0.3558

(a) Construct a 95​% confidence interval.

z crit = z_0.05/2 = 1.96

95​% confidence interval. is

(b)

Yes, the confidence interval does not include 0.25 , so the true percentage could not equal 25%