Questions: A sample of 420 people is selected. The people are classified according to place of residence ("urban", "suburban", or "rural"). They are also classified according to highest educational degree earned ("no college degree", "two-year degree", "four-year degree", or "advanced degree"). The results are given in the contingency table below. No college degree Two-year degree Four-year degree Advanced degree Urban 31 43 23 28 Suburban 47 45 46 25 Rural 23 15 47 47 What is the relative frequency of people in the sample whose place of residence is suburban and whose highest degree is a four-year degree? Round your answer to two decimal places.

A sample of 420 people is selected. The people are classified according to place of residence ("urban", "suburban", or "rural"). They are also classified according to highest educational degree earned ("no college degree", "two-year degree", "four-year degree", or "advanced degree"). The results are given in the contingency table below. No college degree Two-year degree Four-year degree Advanced degree Urban 31 43 23 28 Suburban 47 45 46 25 Rural 23 15 47 47 What is the relative frequency of people in the sample whose place of residence is suburban and whose highest degree is a four-year degree? Round your answer to two decimal places.
Transcript text: A sample of 420 people is selected. The people are classified according to place of residence ("urban", "suburban", or "rural"). They are also classified according to highest educational degree earned ("no college degree", "two-year degree", "four-year degree", or "advanced degree"). The results are given in the contingency table below. \begin{tabular}{|c|c|c|c|c|} \cline { 2 - 5 } \multicolumn{1}{c|}{} & No college degree & Two-year degree & Four-year degree & Advanced degree \\ \hline Urban & 31 & 43 & 23 & 28 \\ \hline Suburban & 47 & 45 & 46 & 25 \\ \hline Rural & 23 & 15 & 47 & 47 \\ \hline \end{tabular} What is the relative frequency of people in the sample whose place of residence is suburban and whose highest degree is a four-year degree? Round your answer to two decimal places. $\square$
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Solution

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Solution Steps

Step 1: Identify the relevant cell in the contingency table

The question asks for the relative frequency of people whose place of residence is suburban and whose highest degree is a four-year degree. From the table, the number of people in this category is 46.

Step 2: Calculate the total number of people in the sample

The total number of people in the sample is given as 420.

Step 3: Compute the relative frequency

The relative frequency is calculated as: \[ \text{Relative Frequency} = \frac{\text{Number of people in the category}}{\text{Total number of people in the sample}} = \frac{46}{420} \]

Step 4: Round the result to two decimal places

Calculate the value of \(\frac{46}{420}\) and round it to two decimal places: \[ \frac{46}{420} \approx 0.1095 \approx 0.11 \]

Final Answer

\(\boxed{0.11}\)

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