Question

A genetic experiment with peas resulted in one sample of offspring that consisted of 447447 green peas and 172172 yellow peas. a. Construct a 9090​% 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

The results do not contradict expectations.

Explanation:

Given that a genetic experiment with peas resulted in one sample of offspring that consisted of 447 green peas and 172 yellow peas.

Proportion of yellow peas =
`(172)/(172+447) =27.79%`

Std error = 0.25(0.75)/sq rt 619

=0.0174

Proportion difference = 0.2779-0.25=0.0279

Test statistic = 0.0279/0.0174 =1.603

p value = 0.1089

For two tailed we have p value >0.10

Hence accept null hypothesis.

The results do not contradict expectations.