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Question
Statistics
Posted 8 months ago

Researchers surveyed recent graduates of two different universities about their income. The following two-way table displays data for the sample of graduates who responded to the survey.

Approximately what percent of graduates from University A have an income under $30,000\$ 30,000 ?
Round your answer to the nearest percent.
\square %\%
\begin{tabular}{lccc} 
Income & University A & University B & TOTAL \\
\hline Under $30,000\$ 30,000 & 35 & 40 & 75 \\
$30,000\$ 30,000 to $59,999\$ 59,999 & 90 & 63 & 153 \\
$60,000\$ 60,000 and over & 35 & 37 & 72 \\
TOTAL & 160 & 140 & 300
\end{tabular}
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Answer from Sia
Posted 8 months ago
Solution by Steps
step 1
Identify the number of graduates from University A with an income under 30,00030,000: 35
step 2
Identify the total number of graduates from University A: 160
step 3
Calculate the percentage of graduates from University A with an income under 30,00030,000 using the formula: Percentage=(Number of graduates with income under $30,000Total number of graduates from University A)×100 \text{Percentage} = \left( \frac{\text{Number of graduates with income under } \$30,000}{\text{Total number of graduates from University A}} \right) \times 100 Percentage=(35160)×100 \text{Percentage} = \left( \frac{35}{160} \right) \times 100 Percentage=21.875% \text{Percentage} = 21.875 \%
step 4
Round the percentage to the nearest percent: 22%
Answer
22%
Key Concept
Percentage Calculation
Explanation
To find the percentage of graduates from University A with an income under 30,00030,000, divide the number of such graduates by the total number of graduates from University A and multiply by 100.

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