A genetic experiment with peas resulted in one sample of offspring that consisted of 429 green peas and 161 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 Pea Experiment: Confidence Interval Analysis**

A genetic experiment with peas resulted in a sample of offspring consisting of 429 green peas and 161 yellow peas.

**Task A**

- **Objective**: Construct a 95% confidence interval to estimate the percentage of yellow peas.
  
**Task B**

- **Expectation**: It was expected that 25% of the offspring would be yellow peas. Given that the percentage of offspring yellow peas is not 25%, do the results contradict expectations?

**Instructions**

1. **Construct a 95% Confidence Interval for Yellow Peas:**
   - Express the percentages in decimal form.
   - Use the formula for the confidence interval and fill in the appropriate values:
     \[
     \text{Lower Bound} < p < \text{Upper Bound}
     \]
   - (Round your answers to three decimal places as needed.)

The exercise focuses on applying statistical methods to analyze genetic probabilities, exploring whether empirical results align with theoretical expectations. There are no graphs or diagrams present in the material.
Transcribed Image Text:**Genetic Pea Experiment: Confidence Interval Analysis** A genetic experiment with peas resulted in a sample of offspring consisting of 429 green peas and 161 yellow peas. **Task A** - **Objective**: Construct a 95% confidence interval to estimate the percentage of yellow peas. **Task B** - **Expectation**: It was expected that 25% of the offspring would be yellow peas. Given that the percentage of offspring yellow peas is not 25%, do the results contradict expectations? **Instructions** 1. **Construct a 95% Confidence Interval for Yellow Peas:** - Express the percentages in decimal form. - Use the formula for the confidence interval and fill in the appropriate values: \[ \text{Lower Bound} < p < \text{Upper Bound} \] - (Round your answers to three decimal places as needed.) The exercise focuses on applying statistical methods to analyze genetic probabilities, exploring whether empirical results align with theoretical expectations. There are no graphs or diagrams present in the material.
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