A sample of 408 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 degreeUrban 23 42 29 44Suburban 48 47 38 33Rural 23 16 42 23What is the relative frequency of people in the sample whose place of residence is rural and whose highest degree is a four-year degree?Round your answer to two decimal places.
Question
A sample of 408 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 degreeUrban 23 42 29 44Suburban 48 47 38 33Rural 23 16 42 23What is the relative frequency of people in the sample whose place of residence is rural and whose highest degree is a four-year degree?Round your answer to two decimal places.
Solution
To find the relative frequency of people in the sample whose place of residence is rural and whose highest degree is a four-year degree, we need to use the contingency table provided.
From the table, we can see that the number of people in the sample whose place of residence is rural and whose highest degree is a four-year degree is 42.
To calculate the relative frequency, we need to divide this number by the total sample size, which is 408.
Relative frequency = Number of people with rural residence and four-year degree / Total sample size
Relative frequency = 42 / 408
Calculating this, we get:
Relative frequency = 0.103
Rounding this to two decimal places, the relative frequency of people in the sample whose place of residence is rural and whose highest degree is a four-year degree is 0.10.
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