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.
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.
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Transcribed Image Text:**Title: Confidence Interval Analysis in Plant Genetics**
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**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.
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Use this analysis framework to guide decision-making and hypothesis testing in genetic studies.
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