Question

A genetic experiment with peas resulted in one sample of offspring that consisted of 447 green peas and 151 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

a) Sample proportion = 0.2525
Sample size (n) = 447
Confidence interval(in %) = 90
z @ 90% = 1.645
Since we know that

Required confidence interval = (0.2525-0.0337, 0.2525+0.0337)
Required confidence interval = (0.2188, 0.2862)
b) No, the results do not contradict the expectations since 0.25 lie between the confidence interval of 0.2188 and 0.2862

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