Questions: A sample of 400 people is classified according to highest educational degree earned ("no college degree", "Two-year degree", "Four-year degree", "Advanced degree") and according to place of residence ("urban", "Suburban", or "rural"). They are also classified and given in the contingency table below. No college degree Two-year degree Four-year degree Advanced degree Urban 34 48 19 33 Suburban 30 49 15 49 Rural 16 44 39 24 Among the people in the sample who have an advanced degree, what is the relative frequency of those whose place of residence happens to be urban? Round your answer to two decimal places.

A sample of 400 people is classified according to highest educational degree earned ("no college degree", "Two-year degree", "Four-year degree", "Advanced degree") and according to place of residence ("urban", "Suburban", or "rural"). They are also classified and given in the contingency table below. No college degree Two-year degree Four-year degree Advanced degree Urban 34 48 19 33 Suburban 30 49 15 49 Rural 16 44 39 24 Among the people in the sample who have an advanced degree, what is the relative frequency of those whose place of residence happens to be urban? Round your answer to two decimal places.
Transcript text: A sample of 400 people is classified according to highest educational degree earned ("no college degree", "Two-year degree", "Four-year degree", "Advanced degree") and according to place of residence ("urban", "Suburban", or "rural"). They are also classified and 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 & 34 & 48 & 19 & 33 \\ \hline Suburban & 30 & 49 & 15 & 49 \\ \hline Rural & 16 & 44 & 39 & 24 \\ \hline \end{tabular} Among the people in the sample who have an advanced degree, what is the relative frequency of those whose place of residence happens to be urban? Round your answer to two decimal places.
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Solution

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Solution Steps

Step 1: Identify the Target Group

The target group is defined by specific criteria within the sample. For this calculation, the size of the target group (T) has been identified based on the given criteria.

Step 2: Calculate the Size of the Target Group (T)

The size of the target group is given as 33.

Step 3: Calculate the Total Sample Size (N)

The total sample size is given as 106.

Step 4: Calculate Relative Frequency

Using the formula \(\text{Relative Frequency} = \frac{T}{N}\), where \(T\) is the size of the target group and \(N\) is the total sample size, we calculate the relative frequency. \(\text{Relative Frequency} = \frac{33}{106} = 0.31\)

Final Answer

The relative frequency of the target group within the sample, rounded to 2 decimal places, is 0.31.

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