the table shows the results of a survey of 400 random people on whether they like liquid soap, bar soap, or…

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

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

Answer

Explanation:

Step1: Recall marginal relative - frequency formula

Marginal relative frequency = $\frac{\text{Row/Column total}}{\text{Grand total}}$

Step2: Identify relevant values

The number of people who do not like bar soap (row total) is 100, and the grand total number of people surveyed is 400.

Step3: Calculate marginal relative frequency

The marginal relative frequency for people who do not like bar soap is $\frac{100}{400}$.

Answer:

$\frac{100}{400}$