Question 1188626: A genetic experiment with peas resulted in one sample of offspring that consisted of 445 green peas and 158 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.
enter your response here
enter your response here (Round to three decimal places as needed.)
b. Given that the percentage of offspring yellow peas is not 25%, do the results contradict expectations?
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%
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! yellow point estimate is 158/603=0.262
half-interval for 90% CI is z(0.95)*sqrt(0.262*0.738/603)
=1.645*0.0179
=0.0295
The interval is [0.233, 0.291]
since 0.25 is included in the interval, the true proportion could be 0.25 (percentage=25%).The results do not contradict expectations.
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