Question

male and female students were asked at which location they would most want to vacation. they had the following preferences:
which location would you most like to visit?

aspen, colorado

new york, new york

row totals

----

----

----

----

male students

0.22

0.28

0.50

female students

0.16

0.34

0.50

column totals

0.38

0.62

1

which of the following is a two-way conditional relative frequency table for gender?option 1:which location would you most like to visit?

aspen, colorado

new york, new york

----

----

----

male students

0.58

0.45

female students

0.42

0.55

column totals

1

1

option 2:which location would you most like to visit?

aspen, colorado

new york, new york

row totals

----

----

----

----

male students

22%

28%

50%

female students

16%

34%

50%

column totals

38%

62%

100%

option 3:which location would you most like to visit?

aspen, colorado

new york, new york

row totals

----

----

----

----

male students

44

56

100

female students

32

68

100

column totals

76

124

200

option 4:which location would you most like to visit?

aspen, colorado

new york, new york

row totals

----

----

----

----

male students

0.44

0.56

1

female students

0.32

0.68

1

Explanation:

Step1: Define conditional frequency (gender)

A conditional relative frequency table for gender calculates each value as the proportion of the row total (since we condition on gender, each row represents a gender group, so row totals sum to 1).

Step2: Calculate male conditional frequencies

For male students:
Aspen: $\frac{0.22}{0.50} = 0.44$
New York: $\frac{0.28}{0.50} = 0.56$
Row total: $\frac{0.50}{0.50} = 1$

Step3: Calculate female conditional frequencies

For female students:
Aspen: $\frac{0.16}{0.50} = 0.32$
New York: $\frac{0.34}{0.50} = 0.68$
Row total: $\frac{0.50}{0.50} = 1$

Step4: Match to options

Compare calculated values to the given tables.

Answer:

The correct table is:

Which location would you most like to visit?	Aspen, Colorado	New York, New York	Row totals
Female students	0.32	0.68	1