A genetic experiment with peas resulted in one sample of offspring that consisted of 446 green peas and 164 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.
A genetic experiment with peas resulted in one sample of offspring that consisted of 446 green peas and 164 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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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![### Genetic Experiment with Peas
A genetic experiment with peas resulted in a sample of offspring that consisted of 446 green peas and 164 yellow peas.
#### Task:
a. **Construct a 95% Confidence Interval**
- Estimate the percentage of yellow peas.
- Express the percentages in decimal form.
- Use the prompt to round to three decimal places where necessary.
\[ \_ < p < \_ \]
b. **Expectations Analysis**
- It was expected that 25% of the offspring peas would be yellow.
- Analyze whether the observed percentage of yellow peas contradicts the expected 25%.
#### Analysis Options:
- **Option 1:** *No, the confidence interval includes 0.25, so the true percentage could easily equal 25%*
- **Option 2:** *Yes, the confidence interval does not include 0.25, so the true percentage could not equal 25%*
This exercise encourages understanding statistical analysis and hypothesis testing in the context of genetic experiments.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F69bac3fe-2714-4d37-ad4c-795849b7b02b%2F3838b0e8-c7a8-4f47-80cd-1a8da699ce27%2Fxcl3iur_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Genetic Experiment with Peas
A genetic experiment with peas resulted in a sample of offspring that consisted of 446 green peas and 164 yellow peas.
#### Task:
a. **Construct a 95% Confidence Interval**
- Estimate the percentage of yellow peas.
- Express the percentages in decimal form.
- Use the prompt to round to three decimal places where necessary.
\[ \_ < p < \_ \]
b. **Expectations Analysis**
- It was expected that 25% of the offspring peas would be yellow.
- Analyze whether the observed percentage of yellow peas contradicts the expected 25%.
#### Analysis Options:
- **Option 1:** *No, the confidence interval includes 0.25, so the true percentage could easily equal 25%*
- **Option 2:** *Yes, the confidence interval does not include 0.25, so the true percentage could not equal 25%*
This exercise encourages understanding statistical analysis and hypothesis testing in the context of genetic experiments.
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