A genetic experiment with peas resulted in one sample of offspring that consisted of 446 green peas and 164 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.

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### Genetic Experiment with Peas

A genetic experiment with peas resulted in a sample of offspring that consisted of 446 green peas and 164 yellow peas.

#### Task:
a. **Construct a 95% Confidence Interval** 
   - Estimate the percentage of yellow peas.
   - Express the percentages in decimal form.
   - Use the prompt to round to three decimal places where necessary.

\[ \_ < p < \_ \]

b. **Expectations Analysis**
   - It was expected that 25% of the offspring peas would be yellow. 
   - Analyze whether the observed percentage of yellow peas contradicts the expected 25%.

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

This exercise encourages understanding statistical analysis and hypothesis testing in the context of genetic experiments.
Transcribed Image Text:### Genetic Experiment with Peas A genetic experiment with peas resulted in a sample of offspring that consisted of 446 green peas and 164 yellow peas. #### Task: a. **Construct a 95% Confidence Interval** - Estimate the percentage of yellow peas. - Express the percentages in decimal form. - Use the prompt to round to three decimal places where necessary. \[ \_ < p < \_ \] b. **Expectations Analysis** - It was expected that 25% of the offspring peas would be yellow. - Analyze whether the observed percentage of yellow peas contradicts the expected 25%. #### Analysis Options: - **Option 1:** *No, the confidence interval includes 0.25, so the true percentage could easily equal 25%* - **Option 2:** *Yes, the confidence interval does not include 0.25, so the true percentage could not equal 25%* This exercise encourages understanding statistical analysis and hypothesis testing in the context of genetic experiments.
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