A genetic experiment with peas resulted in one sample of offspring that consisted of 435 green peas and 157 yellow peas. a. Construct a 95% 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? B 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
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
### Analysis of Genetic Experiment with Peas

A genetic experiment with peas resulted in a sample of offspring consisting of 435 green peas and 157 yellow peas.

#### Questions:

**a.** Construct a 95% confidence interval to estimate the percentage of yellow peas.

*Instructions: Express the percentages in decimal form and round to three decimal places as needed.*

- The confidence interval is represented as: _< p <_

**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?

- **Options:**
  1. No, the confidence interval includes 0.25, so the true percentage could easily equal 25%.
  2. Yes, the confidence interval does not include 0.25, so the true percentage could not equal 25%.

This section involves statistical analysis to determine if observed experimental results align with genetic expectations, with a specific focus on the calculation and interpretation of confidence intervals.
Transcribed Image Text:### Analysis of Genetic Experiment with Peas A genetic experiment with peas resulted in a sample of offspring consisting of 435 green peas and 157 yellow peas. #### Questions: **a.** Construct a 95% confidence interval to estimate the percentage of yellow peas. *Instructions: Express the percentages in decimal form and round to three decimal places as needed.* - The confidence interval is represented as: _< p <_ **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? - **Options:** 1. No, the confidence interval includes 0.25, so the true percentage could easily equal 25%. 2. Yes, the confidence interval does not include 0.25, so the true percentage could not equal 25%. This section involves statistical analysis to determine if observed experimental results align with genetic expectations, with a specific focus on the calculation and interpretation of confidence intervals.
Expert Solution
Step 1

It is given that 435 green peas and 157 yellow peas.

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman