Question

A sample of 311 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. Urban Suburban Rural No college degree Two-year degree Four-year degree 34 42 22 35 21 22 16 34 16 Advanced degree 23 23 23 What is the relative frequency of people in the sample whose place of residence is suburban and whose highest degree is a two-year degree? Round your answer to two decimal places.​

Answer 1

Answer: 0.07

Explanation:

To find the relative frequency of people in the sample whose place of residence is suburban and whose highest degree is a two-year degree, we need to calculate the ratio of the number of people with those characteristics to the total sample size.

Looking at the contingency table, we can see that the number of people in the suburban category with a two-year degree is 21.

The total sample size is given as 311.

Therefore, the relative frequency can be calculated as:

Relative frequency = (Number of people in suburban category with two-year degree) / (Total sample size)

= 21 / 311

≈ 0.0676

Rounded to two decimal places, the relative frequency is approximately 0.07.