A genetic experiment with peas resulted in one sample of offspring that consisted of 446 green peas and 164 yellow peas. a. Construct a 90% 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 90% confidence interval. Express the percentages in decimal form.
A genetic experiment with peas resulted in one sample of offspring that consisted of 446 green peas and 164 yellow peas. a. Construct a 90% 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 90% confidence interval. Express the percentages in decimal form.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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![### Genetic Experiment with Peas: Confidence Interval Analysis
A genetic experiment with peas resulted in one sample of offspring that consisted of 446 green peas and 164 yellow peas.
#### a. Construct a 90% confidence interval to estimate the percentage of yellow peas.
- **Calculate the confidence interval**: Express the percentages in decimal form.
\[ \text{Input boxes: } \_\_\_ < p < \_\_\_ \]
(Round to three decimal places as needed.)
#### 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?
- **Choose one of the following:**
- \( \bigcirc \) No, the confidence interval includes 0.25, so the true percentage could easily equal 25%.
- \( \bigcirc \) Yes, the confidence interval does not include 0.25, so the true percentage could not equal 25%.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1449914f-8eca-43bc-87ff-7e50e88e5bf7%2Ffb5aefe9-f961-4b24-a8c5-8e44f0c0c4fd%2Fb2qzcem_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Genetic Experiment with Peas: Confidence Interval Analysis
A genetic experiment with peas resulted in one sample of offspring that consisted of 446 green peas and 164 yellow peas.
#### a. Construct a 90% confidence interval to estimate the percentage of yellow peas.
- **Calculate the confidence interval**: Express the percentages in decimal form.
\[ \text{Input boxes: } \_\_\_ < p < \_\_\_ \]
(Round to three decimal places as needed.)
#### 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?
- **Choose one of the following:**
- \( \bigcirc \) No, the confidence interval includes 0.25, so the true percentage could easily equal 25%.
- \( \bigcirc \) Yes, the confidence interval does not include 0.25, so the true percentage could not equal 25%.
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