Answered: Response Frequency Yes, support 210 No,…

Name: A survey was given to a random sample of 400 people living in a certai
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Description: A survey was given to a random sample of 400 people living in a certain community. The people were asked whether they supported the construction of walking trails in the community park. The results are shown in the following table. (a) Complete the f

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A survey was given to a random sample of 400 people living in a certain community. The people were asked whether they supported the construction of walking trails in the community park. The results are shown in the following table.

(a) Complete the following segmented bar chart to show the relative frequencies of the results.

A follow-up study will be conducted with a sample of 20 people from the 300 people who responded yes (support) and no (do not support). Two sampling methods have been proposed: a simple random sample and a stratified random sample with the survey response as strata.

(b) If the stratified random sample is used, what is the number of people that will be selected from those who responded yes? Support your answer by showing your work.

(c) Describe a statistical advantage of using the stratified random sample instead of the simple random sample for the follow-up study.

Response
Frequency
Yes, support
210
No, do not support
90
No opinion
100
Total
400

1.0+
0.9+
0.8+
0.7+
0.6+
0.5+
0.4+
0.3+
0.2+
0.1+
0.0-
Survey
Response
Relative Frequency

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