Question

a genetic experiment with peas resulted in one sample of offspring that consisted of 417 green peas and 156 yellow peas.
a. construct a 95% confidence interval to estimate of the percentage of yellow peas.
b. based on the confidence interval, do the results of the experiment appear to contradict the expectation that 25% of the offspring peas would be yellow?
a. construct a 95% confidence interval. express the percentages in decimal form.
.236 < p <.309 (round to three decimal places as needed.)
b. based on the confidence interval, do the results of the experiment appear to contradict the expectation that 25% of the offspring peas would be yellow?
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%

Explanation:

Step1: Analyze the confidence interval

The confidence interval for the proportion of yellow peas is \(0.236 < p < 0.309\).

Step2: Check if 0.25 is in the interval

We see that \(0.236<0.25 < 0.309\).

Answer:

A. No, the confidence interval includes \(0.25\), so the true percentage could easily equal \(25\%\)