A genetic experiment with peas resulted in one sample of offspring that consisted of 422 green peas and 154 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? C a. Construct a 90% confidence interval. Express the percentages in decimal form.

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**Title: Confidence Interval Analysis in Plant Genetics**

---

**Experiment Background:**

A genetic experiment with peas resulted in one sample of offspring consisting of 422 green peas and 154 yellow peas.

**Objective:**

Evaluate the percentage of yellow peas using a 90% confidence interval.

**Task Details:**

a. **Construct a 90% confidence interval.**  
   - Express the percentages in decimal form.  
   - Record to three decimal places as needed.

b. **Analyze Results:**

   - Does the experiment contradict the expectation that 25% of the offspring peas would be yellow?
     - **Option 1**: Yes, if the confidence interval does not include 0.25, the true percentage could not equal 25%.
     - **Option 2**: No, if the confidence interval includes 0.25, the true percentage could easily equal 25%.

**Explanation:**

To determine if the experiment supports the expected 25% yellow peas, construct a 90% confidence interval based on the sample data. If the interval includes 0.25, the hypothesis is supported; if not, it is contradicted.

**Graph and Diagram Explanation:**

The image does not contain any specific graphs or diagrams to describe.

---

Use this analysis framework to guide decision-making and hypothesis testing in genetic studies.
Transcribed Image Text:**Title: Confidence Interval Analysis in Plant Genetics** --- **Experiment Background:** A genetic experiment with peas resulted in one sample of offspring consisting of 422 green peas and 154 yellow peas. **Objective:** Evaluate the percentage of yellow peas using a 90% confidence interval. **Task Details:** a. **Construct a 90% confidence interval.** - Express the percentages in decimal form. - Record to three decimal places as needed. b. **Analyze Results:** - Does the experiment contradict the expectation that 25% of the offspring peas would be yellow? - **Option 1**: Yes, if the confidence interval does not include 0.25, the true percentage could not equal 25%. - **Option 2**: No, if the confidence interval includes 0.25, the true percentage could easily equal 25%. **Explanation:** To determine if the experiment supports the expected 25% yellow peas, construct a 90% confidence interval based on the sample data. If the interval includes 0.25, the hypothesis is supported; if not, it is contradicted. **Graph and Diagram Explanation:** The image does not contain any specific graphs or diagrams to describe. --- Use this analysis framework to guide decision-making and hypothesis testing in genetic studies.
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