A genetic experiment with peas resulted in one sample of offspring that consisted of 435 green peas and 157 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? B a. Construct a 95% confidence interval. Express the percentages in decimal form.

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### Analysis of Genetic Experiment with Peas

A genetic experiment with peas resulted in a sample of offspring consisting of 435 green peas and 157 yellow peas.

#### Questions:

**a.** Construct a 95% confidence interval to estimate the percentage of yellow peas.

*Instructions: Express the percentages in decimal form and round to three decimal places as needed.*

- The confidence interval is represented as: _< 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?

- **Options:**
  1. No, the confidence interval includes 0.25, so the true percentage could easily equal 25%.
  2. Yes, the confidence interval does not include 0.25, so the true percentage could not equal 25%.

This section involves statistical analysis to determine if observed experimental results align with genetic expectations, with a specific focus on the calculation and interpretation of confidence intervals.
Transcribed Image Text:### Analysis of Genetic Experiment with Peas A genetic experiment with peas resulted in a sample of offspring consisting of 435 green peas and 157 yellow peas. #### Questions: **a.** Construct a 95% confidence interval to estimate the percentage of yellow peas. *Instructions: Express the percentages in decimal form and round to three decimal places as needed.* - The confidence interval is represented as: _< 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? - **Options:** 1. No, the confidence interval includes 0.25, so the true percentage could easily equal 25%. 2. Yes, the confidence interval does not include 0.25, so the true percentage could not equal 25%. This section involves statistical analysis to determine if observed experimental results align with genetic expectations, with a specific focus on the calculation and interpretation of confidence intervals.
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