A genetic experiment with peas resulted in one sample of offspring that consisted of 436 green peas and 166 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: Confidence Interval Calculation and Analysis

**Experiment Summary:**  
A genetic experiment with peas resulted in one sample of offspring that consisted of 436 green peas and 166 yellow peas.

**Questions:**
#### a. Construct a 95% confidence interval to estimate 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?

---

### Analysis:

**Step a:** Construct a 95% confidence interval. Express the percentages in decimal form.

---

**Confidence Interval Calculation:**

\[ \square < p < \square \]

*(Round to three decimal places as needed.)*

---

### Graphs or Diagrams:
Currently, there are no graphs or diagrams associated with this content.
Transcribed Image Text:### Genetic Experiment with Peas: Confidence Interval Calculation and Analysis **Experiment Summary:** A genetic experiment with peas resulted in one sample of offspring that consisted of 436 green peas and 166 yellow peas. **Questions:** #### a. Construct a 95% confidence interval to estimate 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? --- ### Analysis: **Step a:** Construct a 95% confidence interval. Express the percentages in decimal form. --- **Confidence Interval Calculation:** \[ \square < p < \square \] *(Round to three decimal places as needed.)* --- ### Graphs or Diagrams: Currently, there are no graphs or diagrams associated with this content.
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