To determine if there is an association between the number of miles run per week and the number of pairs of running shoes purchased per year, we can create a conditional relative frequency table. We calculate the relative frequency of each category within the total groups for running miles. For instance, of the runners who purchase more than two pairs of shoes, 42 out of 70 run more than 5 miles per week, giving a conditional relative frequency of 60%. Comparing this with those who purchase two pairs or less, where only 28 out of 47 run more than 5 miles per week (approximately 60%), suggests that while they purchase different amounts of shoes, the frequency of running more than 5 miles does not significantly differ between the two groups, thus indicating no strong association.
purchases more than two pairs per year :42
purchases two pairs for Less per year:28
runs more than 5 miles per week :42
runs less than 5 miles per week:15
Total:70
Total:47
A running shoe company is collecting data on long-distance runners. The company’s research analyst asked runners how many pairs of running shoes they purchase each year and how many miles they run each week, on average. The results are summarized in the table. Determine if there is an association between the number of miles an individual runs per week and how many pairs of running shoes they purchase per year. Create a conditional relative frequency table of the data. Use your table to support your reasoning. Explain your reasoning in 3–5 sentences.
explain your answer in one simple sentence
1 answer