Purchases More than 2 Pairs per Year%0D%0A%0D%0APurchases 2 Pairs or Less per Year%0D%0A%0D%0ATotal%0D%0ARuns More than 5 Miles per Week%0D%0A%0D%0A42%0928%0970%0D%0ARuns Less than 5 Miles per Week%0D%0A%0D%0A15%0932%0947%0D%0AA 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.%0D%0A%0D%0A(4 points)
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 look at the conditional relative frequency table. From the provided data, we can see that 42% of runners who run more than 5 miles per week purchase more than 2 pairs of running shoes per year, while only 15% of runners who run less than 5 miles per week purchase more than 2 pairs per year. This suggests that there may be an association between running distance and shoe purchases. Additionally, 32% of runners who run less than 5 miles per week purchase only 2 pairs or less per year, compared to 28% of runners who run more than 5 miles per week. This further indicates a potential relationship between mileage and shoe purchases. Therefore, based on the data presented, it is likely that the number of miles run per week influences the number of running shoes purchased per year.
