Question

the table shows the results of a survey of 400 random people on whether they like liquid soap, bar soap, or both.
types of soap
liquid not liquid total
bar 200 100 300
not bar 80 20 100
total 280 120 400
which is the marginal relative frequency for the people who do not like bar soap?
\\( \frac { 100 } { 400 } \\)
\\( \frac { 120 } { 400 } \\)

Explanation:

Step1: Recall the formula for marginal relative frequency

Marginal relative frequency is calculated as $\frac{\text{Row total or Column total}}{\text{Grand total}}$.

Step2: Identify the relevant values

The row total for "Not Bar" is $100$, and the grand total is $400$.

Answer:

$\frac{100}{400}$