A genetic experiment with peas resulted in one sample of offspring that consisted of 425 green peas and 154 yellow peas. a. Construct a 90% 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 90% confidence interval. Express the percentages in decimal form.

MATLAB: An Introduction with Applications
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**Genetic Experiment with Peas**

In a genetic experiment with peas, a sample of offspring was analyzed. The sample consisted of 425 green peas and 154 yellow peas. The goal is to construct a 90% confidence interval to estimate the percentage of yellow peas produced from the sample.

### Tasks

a. **Construct a 90% Confidence Interval**: 
   - Calculate the confidence interval to estimate the percentage of yellow peas.
   - Express the interval in decimal form, rounded to three decimal places.

b. **Expectation Analysis**:
   - It was expected that 25% of the offspring peas would be yellow.
   - Evaluate whether the actual percentage of yellow peas contradicts the expected percentage of 25%.

Ensure accurate calculations and consider the implications of the results in relation to genetic expectations.
Transcribed Image Text:**Genetic Experiment with Peas** In a genetic experiment with peas, a sample of offspring was analyzed. The sample consisted of 425 green peas and 154 yellow peas. The goal is to construct a 90% confidence interval to estimate the percentage of yellow peas produced from the sample. ### Tasks a. **Construct a 90% Confidence Interval**: - Calculate the confidence interval to estimate the percentage of yellow peas. - Express the interval in decimal form, rounded to three decimal places. b. **Expectation Analysis**: - It was expected that 25% of the offspring peas would be yellow. - Evaluate whether the actual percentage of yellow peas contradicts the expected percentage of 25%. Ensure accurate calculations and consider the implications of the results in relation to genetic expectations.
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