Please use the following information to answer the subquestions for question 2

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Please use the following information to answer the subquestions for question 2

Suppose the true population proportion is p = 0.5. The figure below shows the distribution of the sample proportion (p) values for 3 different sample
sizes, n =
20, n=100 and n=500.
0.2
0.4
0.6
0.8
0.2
0.4
0.6
0.8
0.2
0.4
0.6
0.8
Transcribed Image Text:Suppose the true population proportion is p = 0.5. The figure below shows the distribution of the sample proportion (p) values for 3 different sample sizes, n = 20, n=100 and n=500. 0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8
What does each point (observation) in each of the 3 samples represent? In other words, what is being plotted in each of these distributions?
Describe how the distribution of the sample proportion (p) values changes as the sample size becomes larger. (Be specific, comment about the
shape, center and spread of the sampling distribution of the statistic (provide appropriate numerical values for the center and spread))
Question 2 Answer
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Transcribed Image Text:What does each point (observation) in each of the 3 samples represent? In other words, what is being plotted in each of these distributions? Describe how the distribution of the sample proportion (p) values changes as the sample size becomes larger. (Be specific, comment about the shape, center and spread of the sampling distribution of the statistic (provide appropriate numerical values for the center and spread)) Question 2 Answer No answer entered. Click above to enter an answer.
Expert Solution
Step 1

Provided data is, true population proportion is p=0.5. Sample sizes are n=20, n=100, n=500.

a.  For the provided graphs of the distribution, 1st graph gives probability distribution for sample size 20. For this distribution values are spread within range 0 - 1.

If sample size increases, sampling distribution tends to normal distribution. Thus for sample size 100 and 500 sampling distribution tends to normal distribution.

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