Refer to the following scenario. Ah epidemiologist is worned about the prevalence of the flu in East'Vancouver and the potential shortage of vaccines for the area. She will need to provide a recommendation for how to allocate the vaccines approipiately across the city She takes a simple random sample of 334 people living in East Vancouver and finds that 39 have recently had the flu. Suppose that the epidemiologist wants to re-estimate the population proportion and wishes for her 95% confidence interval to have a margin of error no larger than 0.05. How large a sample should she take to achieve this? Please carry answers to at least six decimal places in intermediate steps. Sample size

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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**Scenario for Estimating Population Proportion**

**Context:**

An epidemiologist is concerned about the prevalence of the flu in East Vancouver and the possible shortage of vaccines in the area. To make informed decisions on vaccine allocation, she conducts a study involving a simple random sample of 334 residents of East Vancouver. Her findings indicate that 39 individuals have recently contracted the flu.

**Objective:**

The epidemiologist aims to re-estimate the population proportion of flu cases with a 95% confidence interval. She desires a margin of error no larger than 0.05. The question is: what should be the size of the sample to meet this criterion?

**Instruction:**

Determine the required sample size, ensuring all calculations maintain at least six decimal places in the intermediate steps.

**Solution Section:**

- **Sample Size Calculation:**

  Input the calculated sample size here after performing the necessary statistical analysis to maintain the specified margin of error within a 95% confidence interval.

**Note:**

The relevant statistical methods and formulas can be referenced to ensure the accuracy and reliability of the estimation process.
Transcribed Image Text:**Scenario for Estimating Population Proportion** **Context:** An epidemiologist is concerned about the prevalence of the flu in East Vancouver and the possible shortage of vaccines in the area. To make informed decisions on vaccine allocation, she conducts a study involving a simple random sample of 334 residents of East Vancouver. Her findings indicate that 39 individuals have recently contracted the flu. **Objective:** The epidemiologist aims to re-estimate the population proportion of flu cases with a 95% confidence interval. She desires a margin of error no larger than 0.05. The question is: what should be the size of the sample to meet this criterion? **Instruction:** Determine the required sample size, ensuring all calculations maintain at least six decimal places in the intermediate steps. **Solution Section:** - **Sample Size Calculation:** Input the calculated sample size here after performing the necessary statistical analysis to maintain the specified margin of error within a 95% confidence interval. **Note:** The relevant statistical methods and formulas can be referenced to ensure the accuracy and reliability of the estimation process.
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