QUESTION IMAGE
Question
omobile ownership
seat-belt usage across different road types
road type\tyes\tno\ttotal
highway\t70\t30\t100
city\t50\t50\t100
rural\t60\t40\t100
total\t180\t120\t300
based on the data, which road type has the highest conditional frequency of seat-belt usage?
all the same
highway
city
rural
To find the conditional frequency of seat - belt usage for each road type, we calculate the proportion of "Yes" responses for each road type.
For Highway: The number of "Yes" is 70 and the total number of observations for Highway is 100. So the conditional frequency is $\frac{70}{100}=0.7$.
For City: The number of "Yes" is 50 and the total number of observations for City is 100. So the conditional frequency is $\frac{50}{100} = 0.5$.
For Rural: The number of "Yes" is 60 and the total number of observations for Rural is 100. So the conditional frequency is $\frac{60}{100}=0.6$.
Comparing the three frequencies (0.7 for Highway, 0.5 for City, and 0.6 for Rural), we can see that Highway has the highest conditional frequency of seat - belt usage.
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