A genetic experiment with peas resulted in one sample of offspring that consisted of 444 green peas and 157 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.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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**Title: Constructing a 95% Confidence Interval for the Percentage of Yellow Peas**

**Objective:**
To estimate the percentage of yellow peas and to analyze whether the observed percentage contradicts the expected value.

**Genetic Experiment Background:**
In a sample from a genetic experiment with peas, the offspring consisted of:
- 444 green peas
- 157 yellow peas

**Tasks:**

1. **Construct a 95% Confidence Interval to Estimate the Percentage of Yellow Peas:**
   - Express the percentages in decimal form.
   - Use the box to the left of `< p <` for the lower bound and the box to the right of `< p <` for the upper bound.
   - Round your answer to three decimal places as needed.

2. **Analyze the Expected Percentage of Yellow Peas:**
   - Given that it was expected 25% of the offspring peas would be yellow, examine whether the observed percentage of yellow peas contradicts this expectation.
   - Discuss if the 95% confidence interval supports or refutes the expected 25% yellow peas.

**Interactive Component:**
   - [ ] < p < [ ] (Round to three decimal places as needed.)
   
This exercise involves the application of statistical methods to determine confidence intervals and compare observed data with theoretical expectations. This approach can be broadly applied to similar biological experiments and statistical investigations.
Transcribed Image Text:**Title: Constructing a 95% Confidence Interval for the Percentage of Yellow Peas** **Objective:** To estimate the percentage of yellow peas and to analyze whether the observed percentage contradicts the expected value. **Genetic Experiment Background:** In a sample from a genetic experiment with peas, the offspring consisted of: - 444 green peas - 157 yellow peas **Tasks:** 1. **Construct a 95% Confidence Interval to Estimate the Percentage of Yellow Peas:** - Express the percentages in decimal form. - Use the box to the left of `< p <` for the lower bound and the box to the right of `< p <` for the upper bound. - Round your answer to three decimal places as needed. 2. **Analyze the Expected Percentage of Yellow Peas:** - Given that it was expected 25% of the offspring peas would be yellow, examine whether the observed percentage of yellow peas contradicts this expectation. - Discuss if the 95% confidence interval supports or refutes the expected 25% yellow peas. **Interactive Component:** - [ ] < p < [ ] (Round to three decimal places as needed.) This exercise involves the application of statistical methods to determine confidence intervals and compare observed data with theoretical expectations. This approach can be broadly applied to similar biological experiments and statistical investigations.
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