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PART B The property manager surveys a random sample of tenants about a fitness class. The results are shown in the table. If the apartment building has tenants younger than and tenants age or older, about how many total tenants would not be expected to attend a fitness class? Show your work.\begin{tabular}{|c|c|c|}\cline { - } \multicolumn{}{c|}{} & \begin{tabular}{c} Would Attend \\Fitness Class\end{tabular} & \begin{tabular}{c} Would Not Attend \\Fitness Class\end{tabular} \\\hline \begin{tabular}{l} Younger \\than \end{tabular} & & \\\hline \begin{tabular}{l} or \\Older\end{tabular} & & \\\hline\end{tabular}OLUTION
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Q. PART B The property manager surveys a random sample of tenants about a fitness class. The results are shown in the table. If the apartment building has tenants younger than and tenants age or older, about how many total tenants would not be expected to attend a fitness class? Show your work.\begin{tabular}{|c|c|c|}\cline { - } \multicolumn{}{c|}{} & \begin{tabular}{c} Would Attend \\Fitness Class\end{tabular} & \begin{tabular}{c} Would Not Attend \\Fitness Class\end{tabular} \\\hline \begin{tabular}{l} Younger \\than \end{tabular} & & \\\hline \begin{tabular}{l} or \\Older\end{tabular} & & \\\hline\end{tabular}OLUTION
- Analyze Data: Analyze the given data from the survey.We have a table with the following information:- tenants younger than would attend the fitness class.- tenants younger than would not attend the fitness class.- tenants age or older would attend the fitness class.- tenants age or older would not attend the fitness class.
- Calculate Proportions: Calculate the proportion of tenants who would not attend the fitness class for each age group based on the survey.For tenants younger than :Proportion Number who would not attend Total surveyed in the groupProportion Proportion
- Calculate Expected Numbers: Calculate the expected number of tenants younger than who would not attend the fitness class.Expected number = Proportion Total number of tenants younger than Expected number = Expected number = Expected number (Since we cannot have a fraction of a tenant, we will consider the actual number after calculating the total for both age groups.)
- Calculate Proportion Older: Calculate the proportion of tenants age or older who would not attend the fitness class based on the survey.For tenants age or older:Proportion = Number who would not attend / Total surveyed in the groupProportion = Proportion =
- Calculate Expected Older: Calculate the expected number of tenants age or older who would not attend the fitness class.Expected number = Proportion Total number of tenants age or olderExpected number = Expected number = Expected number (Again, we will consider the actual number after calculating the total for both age groups.)
- Calculate Total Expected: Calculate the total expected number of tenants who would not attend the fitness class.Total expected number = Expected number of younger tenants + Expected number of older tenantsTotal expected number Total expected number Since we cannot have a fraction of a tenant, we round to the nearest whole number.Total expected number
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