Answered

A city survey of two neighborhoods asked residents whether they would prefer a new playground or a dog park. The survey data are shown in the relative frequency table below.

\begin{tabular}{|c|c|c|c|}
\hline
& Playground & Dog Park & Total \\
\hline
Hill Point & 0.40 & 0.17 & 0.57 \\
\hline
Northlake & 0.18 & 0.25 & 0.43 \\
\hline
Total & 0.58 & 0.42 & 1.0 \\
\hline
\end{tabular}

What percentage of the Hill Point residents surveyed want a new playground?

A. 58%

B. About 84%

C. About 70%

D. 40%



Answer :

GinnyAnswer
To determine the percentage of Hill Point residents who want a new playground, we can follow these steps:

1. Identify the relevant numbers from the table:
- The total number of Hill Point residents surveyed is given by the total for Hill Point, which is [tex]\(0.57\)[/tex].
- The number of Hill Point residents who prefer a new playground is [tex]\(0.40\)[/tex].

2. Calculate the percentage:
- We need to find the proportion of Hill Point residents who want a new playground relative to the total number of Hill Point residents.

The formula to find this percentage is:
[tex]\[ \text{Percentage} = \left(\frac{\text{Number of Hill Point residents wanting a playground}}{\text{Total number of Hill Point residents}}\right) \times 100 \][/tex]

Substituting the numbers from the table:
[tex]\[ \text{Percentage} = \left(\frac{0.40}{0.57}\right) \times 100 \][/tex]

3. Interpret the calculated percentage:
- By calculating the above expression, we get approximately [tex]\(70.175\%\)[/tex].

4. Select the closest answer from the given options:
- From the options provided, about [tex]\(70 \%\)[/tex] (option C) is the closest to [tex]\(70.175\%\)[/tex].

Thus, the percentage of Hill Point residents who want a new playground is about 70%.

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