1. PERCENTAGING A TABLE Following a taste test, customers were asked to indicate
ID: 3064140 • Letter: 1
Question
1. PERCENTAGING A TABLE
Following a taste test, customers were asked to indicate which flavor of a new brand of ice cream they preferred. Their preferences are shown in the following table:
Vanilla
Chocolate
Strawberry
Men
24
15
6
Women
20
16
11
a. What percent of the respondents indicated that they preferred chocolate ice cream?
b. Among those respondents who indicated a preference for strawberry ice cream, what percent were women?
c. What is the proportion of the respondents who were men who preferred vanilla ice cream?
d. What is the proportion of female respondents who preferred strawberry ice cream?
e. For each of the cells, calculate row, column, and total percentages. Make a statement that interprets each of those percentages (for each cell).
Vanilla
Chocolate
Strawberry
Men
24
15
6
Women
20
16
11
Explanation / Answer
Following table shows the row and column total:
(a)
Out of 92 respondents, 31 preferred chocolate ice cream so the required percentage is
31 /92 = 0.3370 = 33.70%
(b)
Out of 17 respondents who preferred Strawberry, 11 are women so the required percentage is
11 / 17 = 0.6471 = 64.71%
(c)
Out of 45 respondents who were men, 24 preferred vanilla so the required percentage is
24 / 45 = 0.5333 = 53.33%
(d)
Out of 47 respondents who were women, 11 preferred strawberry so the required percentage is
11 / 47 = 0.2340 = 23.40%
(e)
Vanilla Chocolate Strawberry Total Men 24 15 6 45 Women 20 16 11 47 Total 44 31 17 92Related Questions
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