QUESTION IMAGE
Question
- the accessory choices of 143 people are recorded in the table. create a relative - frequency table that could be used to show the percentages of belt wearers who wear a watch or not, as well as the percentages of people without belts who wear a watch or not.
| wearing a belt | not wearing a belt | |
|---|---|---|
| not wearing a watch | 32 | 20 |
Step1: Calculate total number of people
The total number of people is \(29 + 62+20 + 32=143\).
Step2: Calculate relative - frequencies for each category
For wearing a belt and a watch:
The relative frequency is \(\frac{62}{143}\approx0.434\) or \(43.4\%\).
For wearing a belt and not wearing a watch:
The relative frequency is \(\frac{29}{143}\approx0.203\) or \(20.3\%\).
For not wearing a belt and wearing a watch:
The relative frequency is \(\frac{32}{143}\approx0.224\) or \(22.4\%\).
For not wearing a belt and not wearing a watch:
The relative frequency is \(\frac{20}{143}\approx0.140\) or \(14.0\%\).
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| Wearing a belt | Not wearing a belt | |
|---|---|---|
| Not wearing a watch | \(20.3\%\) | \(14.0\%\) |