Asked by Audrey Cummings on May 07, 2024
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A company has surveyed a sample of its employees to find out how many might take advantage of a weight loss program.The table below shows the results.For which of the groups could we use our methods of inference to determine a 95% confidence interval for the proportion of employees who would be willing to participate in the program? Group Number of Employees Number Surveyed Percent to Participate Building C 52002508% Building B 11901506% Building A 248209%\begin{array} { l | c | c | c } \text { Group } & \begin{array} { c } \text { Number of } \\\text { Employees }\end{array} & \begin{array} { c } \text { Number } \\\text { Surveyed }\end{array} & \begin{array} { c } \text { Percent to } \\\text { Participate }\end{array} \\\hline \text { Building C } & 5200 & 250 & 8 \% \\\text { Building B } & 1190 & 150 & 6 \% \\\text { Building A } & 248 & 20 & 9 \%\end{array} Group Building C Building B Building A Number of Employees 52001190248 Number Surveyed 25015020 Percent to Participate 8%6%9%
Weight Loss Program
A structured plan designed to help individuals lose weight, often including diet, exercise, and sometimes counseling or medication.
Proportion of Employees
The ratio or percentage of employees fitting a specific criteria within the total workforce.
Participation
The act of taking part or being actively involved in an activity, event, or process.
- Identify the appropriate sample size for achieving desired confidence levels and margins of error in polling and survey contexts.
- Apply and interpret the "Plus Four" method for calculating confidence intervals for proportions.
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Learning Objectives
- Identify the appropriate sample size for achieving desired confidence levels and margins of error in polling and survey contexts.
- Apply and interpret the "Plus Four" method for calculating confidence intervals for proportions.