Suppose that a municipality creates a survey to find out how satisfied its residents are with the services provided by the city. The respondents are asked to rank their satisfaction on a scale of one to five, with one being "very dissatisfied" and five being "very satisfied". The municipality randomly selects 5000 of its 100,000 residents to complete the survey. The municipality plans to use the survey results to create a 99% large-sample z-confidence interval for the residents' satisfaction score. Complete the following flowchart to determine if all of the requirements for constructing a large-sample z-confidence interval for a proportion have been met. If your answer is no for any requirement, leave the boxes below that requirement unanswered. Is the sample a simple random sample from a large population? No Stop. Requirements are not met. Is the parameter of interest categorical with two possible outcomes? No Stop. Requirements are not met. Yes yes No Stop. Requirements are not met. Answer Bank Are there enough successes and failures in the sample? Yes no Yes Use a large sample confidence interval.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Suppose that a municipality creates a survey to find out how satisfied its residents are with the services provided by the city.
The respondents are asked to rank their satisfaction on a scale of one to five, with one being "very dissatisfied" and five being
"very satisfied". The municipality randomly selects 5000 of its 100,000 residents to complete the survey.
The municipality plans to use the survey results to create a 99% large-sample z-confidence interval for the residents'
satisfaction score.
Complete the following flowchart to determine if all of the requirements for constructing a large-sample z-confidence interval
for a proportion have been met. If your answer is no for any requirement, leave the boxes below that requirement unanswered.
Is the sample a simple random
sample from a large population?
No
Stop. Requirements
are not met.
Is the parameter of interest categorical
with two possible outcomes?
No
Stop. Requirements
are not met.
Yes
yes
No
Stop. Requirements
are not met.
Answer Bank
Are there enough successes
and failures in the sample?
Yes
no
Yes
Use a large sample
confidence interval.
Transcribed Image Text:Suppose that a municipality creates a survey to find out how satisfied its residents are with the services provided by the city. The respondents are asked to rank their satisfaction on a scale of one to five, with one being "very dissatisfied" and five being "very satisfied". The municipality randomly selects 5000 of its 100,000 residents to complete the survey. The municipality plans to use the survey results to create a 99% large-sample z-confidence interval for the residents' satisfaction score. Complete the following flowchart to determine if all of the requirements for constructing a large-sample z-confidence interval for a proportion have been met. If your answer is no for any requirement, leave the boxes below that requirement unanswered. Is the sample a simple random sample from a large population? No Stop. Requirements are not met. Is the parameter of interest categorical with two possible outcomes? No Stop. Requirements are not met. Yes yes No Stop. Requirements are not met. Answer Bank Are there enough successes and failures in the sample? Yes no Yes Use a large sample confidence interval.
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