Question

Statistics

Posted about 2 months ago

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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 $\$ 30,000$ ?
Round your answer to the nearest percent.
$\square$ $\%$
\begin{tabular}{lccc}
Income & University A & University B & TOTAL \\
\hline Under $\$ 30,000$ & 35 & 40 & 75 \\
$\$ 30,000$ to $\$ 59,999$ & 90 & 63 & 153 \\
$\$ 60,000$ and over & 35 & 37 & 72 \\
TOTAL & 160 & 140 & 300
\end{tabular}
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Answer from Sia

Posted about 2 months ago

Solution by Steps

step 1

Identify the number of graduates from University A with an income under $30,000$: 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 $30,000$ using the formula:
$\text{Percentage} = \left( \frac{\text{Number of graduates with income under } \$30,000}{\text{Total number of graduates from University A}} \right) \times 100$
$\text{Percentage} = \left( \frac{35}{160} \right) \times 100$
$\text{Percentage} = 21.875 \%$

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 $30,000$, divide the number of such graduates by the total number of graduates from University A and multiply by 100.

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