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9. 1,430 people are surveyed about whether they take daily vitamins and…

Question

  1. 1,430 people are surveyed about whether they take daily vitamins and whether they eat breakfast. the table shows the results. create a relative frequency table that shows the percentage of the entire group that is in each cell.

Explanation:

Step1: Calculate the relative frequency for "Eat Breakfast - Take Daily Vitamins"

The formula for relative frequency is \(\text{Relative Frequency}=\frac{\text{Frequency}}{\text{Total Number}}\).
For "Eat Breakfast - Take Daily Vitamins", the frequency is \(384\) and the total number of people surveyed is \(1430\).
So, \(\frac{384}{1430}\approx 0.27\) (or \(27\%\))

Step2: Calculate the relative frequency for "Eat Breakfast - Don't Take Daily Vitamins"

The frequency is \(476\).
\(\frac{476}{1430}\approx 0.33\) (or \(33\%\))

Step3: Calculate the relative frequency for "Don't Eat Breakfast - Take Daily Vitamins"

The frequency is \(268\).
\(\frac{268}{1430}\approx 0.19\) (or \(19\%\))

Step4: Calculate the relative frequency for "Don't Eat Breakfast - Don't Take Daily Vitamins"

The frequency is \(302\).
\(\frac{302}{1430}\approx 0.21\) (or \(21\%\))

Answer:

Take Daily VitaminsDon't Take Daily Vitamins
Don't Eat Breakfast\(19\%\)\(21\%\)