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4. A random sample of students was surveyed about how much non-school screen time they had each week. For the purposes of the survey, screen time was defined as time spent online, on social media, watching TV, or playing video games. The survey also asked if their grade average was above or below 80.

Screen Time

\begin{tabular}{|c|c|c|c|}
\hline
& Above & Below & Total \\
\hline
Less than 4 hours & 7 & 7 & 14 \\
\hline
4-8 hours & 19 & 17 & 36 \\
\hline
8-12 hours & 14 & 18 & 32 \\
\hline
More than 12 hours & 15 & 19 & 34 \\
\hline
Total & 55 & 61 & 116 \\
\hline
\end{tabular}

What percent of the students who spend more than 12 hours a week on screens reported a grade average above 80? Round your answer to the nearest tenth of a percent.



Answer :

GinnyAnswer
Let's solve the problem step-by-step.

1. Identify the Relevant Data:
We need to find the percentage of students who spend more than 12 hours a week on screens and have a grade average above 80.

2. Extract the Data from the Table:
From the table:
- Number of students who spend more than 12 hours on screens and have a grade average above 80: 15
- Total number of students who spend more than 12 hours on screens: 34

3. Calculate the Percentage:
To find the percentage, we use the formula:
[tex]\[ \text{Percentage} = \left( \frac{\text{Number of students with grade average above 80}}{\text{Total number of students who spend more than 12 hours}} \right) \times 100 \][/tex]

Substituting the given values:
[tex]\[ \text{Percentage} = \left( \frac{15}{34} \right) \times 100 \][/tex]

4. Simplify the Calculation:
Perform the division:
[tex]\[ \frac{15}{34} \approx 0.441 \][/tex]

Convert this to a percentage:
[tex]\[ 0.441 \times 100 = 44.1 \][/tex]

5. Round the Percentage:
The final step is to round the percentage to the nearest tenth:
[tex]\[ 44.1 \][/tex]

Thus, the percentage of students who spend more than 12 hours a week on screens and report a grade average above 80 is [tex]\( 44.1\% \)[/tex].

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