A genetic experiment with peas resulted in one sample of offspring that consisted of 410 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? a. Construct a 90% confidence interval. Express the percentages in decimal form. 336

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0.336 and 0.415 are incorrect

### Genetic Experiment with Peas: Confidence Interval Analysis

A genetic experiment with peas resulted in one sample of offspring that consisted of 410 green peas and 154 yellow peas. The following tasks were undertaken:

#### a. Construct a 90% Confidence Interval
Aim: To estimate the percentage of yellow peas.

- **Confidence Interval (in decimal form):**  
  The 90% confidence interval constructed is \(0.336 < p < 0.415\), where \(p\) represents the percentage of yellow peas expressed as a decimal. This interval was rounded to three decimal places as needed.

#### b. Experimental Results and Expectations
Question: 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?

- Analyze whether the constructed confidence interval for the percentage of yellow peas aligns or contradicts the expectation of 25% yellow peas.

This section helps students understand how to interpret confidence intervals in the context of genetic experiments and their expected theoretical outcomes.
Transcribed Image Text:### Genetic Experiment with Peas: Confidence Interval Analysis A genetic experiment with peas resulted in one sample of offspring that consisted of 410 green peas and 154 yellow peas. The following tasks were undertaken: #### a. Construct a 90% Confidence Interval Aim: To estimate the percentage of yellow peas. - **Confidence Interval (in decimal form):** The 90% confidence interval constructed is \(0.336 < p < 0.415\), where \(p\) represents the percentage of yellow peas expressed as a decimal. This interval was rounded to three decimal places as needed. #### b. Experimental Results and Expectations Question: 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? - Analyze whether the constructed confidence interval for the percentage of yellow peas aligns or contradicts the expectation of 25% yellow peas. This section helps students understand how to interpret confidence intervals in the context of genetic experiments and their expected theoretical outcomes.
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