**Genetic Experiment with Peas: Confidence Interval Analysis** A genetic experiment with peas resulted in one sample of offspring that consisted of 432 green peas and 163 yellow peas. **Task:** a. Construct a 95% confidence interval to estimate 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. Construction of a 95% Confidence Interval** - Express the percentages in decimal form. \[ \text{Confidence Interval: } \ \_\_\_ < p < \_\_\_ \] *(Round to three decimal places as needed.)* **b. Analysis Based on the Confidence Interval** - Do the results of the experiment contradict the expectation that 25% of the offspring peas would be yellow? Options: - ○ No, the confidence interval includes 0.25, so the true percentage could easily equal 25%. - ○ Yes, the confidence interval does not include 0.25, so the true percentage could not equal 25%.

Genetic Experiment with Peas: Confidence Interval Analysis A genetic experiment with peas resulted in one sample of offspring that consisted of 432 green peas and 163 yellow peas. Task: a. Construct a 95% confidence interval to estimate 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. Construction of a 95% Confidence Interval - Express the percentages in decimal form. \[ \text{Confidence Interval: } \ \_\_\_ < p < \_\_\_ \] (Round to three decimal places as needed.) b. Analysis Based on the Confidence Interval - Do the results of the experiment contradict the expectation that 25% of the offspring peas would be yellow? Options: - ○ No, the confidence interval includes 0.25, so the true percentage could easily equal 25%. - ○ Yes, the confidence interval does not include 0.25, so the true percentage could not equal 25%.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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