Question

a company surveys 200 shoppers to find out what type of bottled water they prefer. the partial two-way table shown gives the results of the survey as relative frequencies.
bottled water
purified water mineral water total
men 0.28 0.13 0.41
women 0.14 ? 0.59
total 0.42 0.58 1
a. what is the missing value in the table?
b. based on the results in the table, how many shoppers are men who prefer mineral water?

Explanation:

Step1: Find missing relative frequency

For women, total relative frequency = 0.59. Subtract the relative frequency of women who prefer purified water:
$0.59 - 0.14 = 0.45$

Step2: Calculate number of men who prefer mineral water

Multiply total shoppers (200) by the relative frequency of men who prefer mineral water (0.13):
$200 \times 0.13 = 26$

Answer:

A. 0.45
B. 26