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A genetic experiment with peas resulted in one sample of offspring that consisted of 449 green peas and 166 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.

A genetic experiment with peas resulted in one sample of offspring that consisted of 449 green peas and 166 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.

College Algebra (MindTap Course List)
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 449 green peas and 166 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. Given that the percentage of offspring yellow peas is not 25%, do the results contradict expectations? 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 449 green peas and 166 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. Given that the percentage of offspring yellow peas is not 25%, do the results contradict expectations? 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%
In a study of the accuracy of fast food drive-through orders, Restaurant A had 221 accurate orders and 60 that were not accurate. a. Construct a 95% confidence interval estimate of the percentage of orders that are not accurate. b. Compare the results from part (a) to this 95% confidence interval for the percentage of orders that are not accurate at Restaurant B: 0.184 < p < 0.289. What do you conclude? a. Construct a 95% confidence interval. Express the percentages in decimal form. O<p<O (Round to three decimal places as needed.) b. Choose the correct answer below. O A. The lower confidence limit of the interval for Restaurant B is higher than the lower confidence limit of the interval for Restaurant A and the upper confidence limit of the interval for Restaurant B is also higher than the upper confidence limit of the interval for Restaurant A. Therefore, Restaurant B has a significantly higher percentage of orders that are not accurate. O B. Since the two confidence intervals overlap, neither restaurant appears to have a significantly different percentage of orders that are not accurate. O C. Since the upper confidence limit of the interval for Restaurant B is higher than both the lower and upper confidence limits of the interval for Restaurant A, this indicates that Restaurant B has a significantly higher percentage of orders that are not accurate. O D. No conclusion can be made because not enough information is given about the confidence interval for Restaurant B.
Transcribed Image Text:In a study of the accuracy of fast food drive-through orders, Restaurant A had 221 accurate orders and 60 that were not accurate. a. Construct a 95% confidence interval estimate of the percentage of orders that are not accurate. b. Compare the results from part (a) to this 95% confidence interval for the percentage of orders that are not accurate at Restaurant B: 0.184 < p < 0.289. What do you conclude? a. Construct a 95% confidence interval. Express the percentages in decimal form. O<p<O (Round to three decimal places as needed.) b. Choose the correct answer below. O A. The lower confidence limit of the interval for Restaurant B is higher than the lower confidence limit of the interval for Restaurant A and the upper confidence limit of the interval for Restaurant B is also higher than the upper confidence limit of the interval for Restaurant A. Therefore, Restaurant B has a significantly higher percentage of orders that are not accurate. O B. Since the two confidence intervals overlap, neither restaurant appears to have a significantly different percentage of orders that are not accurate. O C. Since the upper confidence limit of the interval for Restaurant B is higher than both the lower and upper confidence limits of the interval for Restaurant A, this indicates that Restaurant B has a significantly higher percentage of orders that are not accurate. O D. No conclusion can be made because not enough information is given about the confidence interval for Restaurant B.
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