A genetic experiment with peas resulted in one sample of offspring that consiste

Question

A genetic experiment with peas resulted in one sample of offspring that consisted of 444 green peas and 153 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?

a. Construct a 90% confidence interval. Express the percentages in decimal form.

__ < p < __ (Round to three decimal places as needed)

Explanation / Answer

a)
Total peas (n) = 444+153= 597

p = (153)/ 597 = 0.256
z value at 90% = 1.645

CI = p +/- z * sqrt(p * ( 1 -p)/n)
= 0.256 +/- 1.645 * sqrt( 0.256 * 0.744/597)
= (0.227 , 0.285)
0.227 < p < 0.285

b)

No, the confidence interval includes 0.25, so the true percentage could easily equal 25%

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