An elected official surveyed residents of a town to assess their satisfaction with city services. The survey includes both those who own and those who rent their homes.

\begin{tabular}{|l|c|c|c|c|}
\hline
\multirow{2}{*}{} & \multicolumn{3}{|c|}{Level of Satisfaction} & \\
\cline{2-5}
& High & Medium & Low & Total \\
\hline
Owners & 26 & 34 & 18 & 78 \\
\hline
Renters & 15 & 12 & 5 & 22 \\
\hline
Total & 41 & 46 & 23 & 110 \\
\hline
\end{tabular}

What proportion of those surveyed have low satisfaction with city services?

A. 0.2091
B. 0.2308
C. 0.2644
D. 0.3727



Answer :

To determine the proportion of those surveyed who have low satisfaction with city services, follow these steps:

1. Sum the Total Number of People Surveyed: According to the survey table, the total number of people surveyed is provided directly under the "Total" column.

Total surveyed = 110

2. Identify the Number of People with Low Satisfaction: The number of people who have low satisfaction is also provided in the table. It is found under the "Low" column in the "Total" row.

Number with low satisfaction = 23

3. Calculate the Proportion: The proportion of those with low satisfaction is the number of people with low satisfaction divided by the total number of people surveyed.

[tex]\[ \text{Proportion of Low Satisfaction} = \frac{\text{Number with Low Satisfaction}}{\text{Total Surveyed}} \][/tex]

Substituting in the values we have:

[tex]\[ \text{Proportion of Low Satisfaction} = \frac{23}{110} \][/tex]

4. Compute the Proportion: Perform the division.

[tex]\[ \frac{23}{110} \approx 0.2091 \][/tex]

Therefore, the correct proportion of those surveyed who have low satisfaction with city services is approximately 0.2091.

From the given options, the closest match is:
- 0.2091

So, the correct answer is:

0.2091