yellow peas. a. Construct a 95​% confidence interval to estimate 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?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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A genetic experiment with peas resulted in one sample of offspring that consisted of 445 green peas and 164 yellow peas.
a. Construct a 95​% confidence interval to estimate 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 genetic experiment with peas resulted in one sample of offspring that consisted of
445 green peas and 164 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.
(Round to three decimal places as needed.)
<p<
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?
Yes, the confidence interval does not include 0.25, so the true percentage could
not equal 25%
O No, the confidence interval includes 0.25, so the true percentage could easily
equal 25%
Transcribed Image Text:A genetic experiment with peas resulted in one sample of offspring that consisted of 445 green peas and 164 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. (Round to three decimal places as needed.) <p< 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? Yes, the confidence interval does not include 0.25, so the true percentage could not equal 25% O No, the confidence interval includes 0.25, so the true percentage could easily equal 25%
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