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
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Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
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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%.
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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