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2. the accessory choices of 143 people are recorded in the table. creat…

Question

  1. 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 beltnot wearing a belt
not wearing a watch3220

Explanation:

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 \(14.0\%\).

Answer:

Wearing a beltNot wearing a belt
Not wearing a watch\(20.3\%\)\(14.0\%\)