MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Refer to the following scenario. A government official is in charge of allocating social programs throughout the city of Vancouver. He will decide where these social outreach programs should be located based on the percentage of residents living below the poverty line in each region of the city. He takes a simple random sample of 122 people living in Gastown and finds that 24 have an annual income that is below the poverty line.

For each of the following statements, specify whether the statement is a correct interpretation of the 95% confidence interval for the true proportion of Gastown residents living below the poverty line.

Help with the true and false i got it wrong

For each of the following statements, specify whether the statement is a correct interpretation of the 95% confidence interval for
the true proportion of Gastown residents living below the poverty line.
A. 19.67% (24/122) of Gastown residents are living below the poverty line. true
B. There is a 95% probability that the true proportion of Gastown residents who are living below the poverty line equals 24/122.
false
C. If another random sample of 122 Gastown residents is drawn, there is a 95% probability that the sample proportion of Gastown
residents who are living below the poverty line equals 24/122. false
D. If many random samples of 122 Gastown residents are drawn, 95% of the resulting confidence intervals will contain the value of
the true proportion of Gastown residents who are living below the poverty line. true
E. If many random samples of 122 Gastown residents are drawn, 95% of the resulting confidence intervals will contain the value
24/122. false
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Transcribed Image Text:For each of the following statements, specify whether the statement is a correct interpretation of the 95% confidence interval for the true proportion of Gastown residents living below the poverty line. A. 19.67% (24/122) of Gastown residents are living below the poverty line. true B. There is a 95% probability that the true proportion of Gastown residents who are living below the poverty line equals 24/122. false C. If another random sample of 122 Gastown residents is drawn, there is a 95% probability that the sample proportion of Gastown residents who are living below the poverty line equals 24/122. false D. If many random samples of 122 Gastown residents are drawn, 95% of the resulting confidence intervals will contain the value of the true proportion of Gastown residents who are living below the poverty line. true E. If many random samples of 122 Gastown residents are drawn, 95% of the resulting confidence intervals will contain the value 24/122. false
Expert Solution
Check Mark
Step 1: Write the given information


Let x denote the number of people whose annual income is below the poverty line

and to examine whether the statements are true or false. 

From the scenario,

the sample size = 122.

 n = 122

x = 24


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