According to a recent survey of adults, 38 percent say the almond is their favorite nut. The adults were also asked where they lived. Of the 19 percent of those who responded that they live in California, 40 percent chose the almond as their favorite nut. Is liking almonds independent of residency?
Answer
A
No, cap p times almonds is not equal to cap p times open paren California divides almonds close paren .
B
Yes, cap p times almonds is equal to cap p times open paren California divides almonds close paren .
C
Yes, cap p times almonds is equal to cap p times open paren almonds divides California close paren .
D
No, cap p times almond is not equal to cap p times open paren almonds divides California close paren .
Explanation
For almond preference and California residency to be independent, the overall probability of preferring almonds must equal the probability of preferring almonds among California residents. Those probabilities are 38% and 40%, respectively, and they are not equal. So liking almonds is not independent of residency; choice D states this comparison.
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