Tollowing A government offic charge of allocating social programs throughout 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 20 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. A. 16.39% (20/122) of Gastown residents are living below the poverty line. ?

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For each of the statements: A, B, C, D and E 
Have to pick true or false

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 20 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.
A. 16.39% (20/122) of Gastown residents are living below the poverty line.
?
B. There is a 95% probability that the true proportion of Gastown residents who are living below the poverty line equals
20/122. ?
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 20/122. ?
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. ?
E. If many random samples of 122 Gastown residents are drawn, 95% of the resulting confidence intervals will contain the
value 20/122. ?
Transcribed Image Text: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 20 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. A. 16.39% (20/122) of Gastown residents are living below the poverty line. ? B. There is a 95% probability that the true proportion of Gastown residents who are living below the poverty line equals 20/122. ? 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 20/122. ? 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. ? E. If many random samples of 122 Gastown residents are drawn, 95% of the resulting confidence intervals will contain the value 20/122. ?
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