A genetic experiment with peas resulted in one sample of offspring that consiste
ID: 3217955 • Letter: A
Question
A genetic experiment with peas resulted in one sample of offspring that consisted of 416 green peas and 157 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 _<p<_(round to three decimal places as needed)
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?
Explanation / Answer
Total peas = 416 + 157 = 573
a) The statistical sodftware output for 95% confidence interval is:
One sample proportion confidence interval:
p : Proportion of successes
Method: Standard-Wald
95% confidence interval results:
Hence,
95% confidence interval:
0.237 < p < 0.311
b) Since the confidence interval contains 0.25 i.e. 25%, the result do not contradict the expectations.
Proportion Count Total Sample Prop. Std. Err. L. Limit U. Limit p 157 573 0.27399651 0.018632218 0.23747803 0.31051499Related Questions
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