QUESTION IMAGE
Question
in a survey conducted at a pet store, 150 customers were asked if they own birds or fish. the survey data are shown in the relative - frequency table.
| own a bird | do not own a bird | total | |
|---|---|---|---|
| do not own fish | 0.02 | 0.86 | |
| total |
what percentage of the people surveyed own a bird?
a. 6%
b. 4%
c. 0.06%
d. 2%
Step1: Recall the concept of relative - frequency
The relative - frequency of owning a bird is the sum of the relative - frequencies of owning a bird and owning fish and owning a bird and not owning fish.
Step2: Calculate the relative - frequency of owning a bird
The relative - frequency of owning a bird and owning fish is 0.04, and the relative - frequency of owning a bird and not owning fish is 0.02.
The relative - frequency of owning a bird is \(0.04 + 0.02=0.06\).
Step3: Convert relative - frequency to percentage
To convert a relative - frequency to a percentage, multiply by 100.
\(0.06\times100 = 6\%\)
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A. 6%