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 ra

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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 121 people living in Gastown and finds that 25 have an annual income that is below the poverty line.

A government official is responsible for distributing social programs in Vancouver. The decision on locations depends on the percentage of residents living below the poverty line in each area. A random sample of 121 people from Gastown shows 25 individuals have incomes below the poverty line.

**Part i**: The proportion of the 121 people living below the poverty line (25/121) is identified as a:
- A. parameter
- **B. statistic** (selected option)
- C. variable of interest

**Part ii**: Compute the 95% confidence interval for the true proportion of Gastown residents living below the poverty line. Answers should maintain a precision of at least six decimal places during calculations, rounding the final result to three decimal places.

95% confidence interval = ( [    ] , [    ] )
Transcribed Image Text:A government official is responsible for distributing social programs in Vancouver. The decision on locations depends on the percentage of residents living below the poverty line in each area. A random sample of 121 people from Gastown shows 25 individuals have incomes below the poverty line. **Part i**: The proportion of the 121 people living below the poverty line (25/121) is identified as a: - A. parameter - **B. statistic** (selected option) - C. variable of interest **Part ii**: Compute the 95% confidence interval for the true proportion of Gastown residents living below the poverty line. Answers should maintain a precision of at least six decimal places during calculations, rounding the final result to three decimal places. 95% confidence interval = ( [ ] , [ ] )
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