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
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
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
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
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
female students	0.32	0.68	1

Explanation:

Step1: Define conditional frequency goal

A two-way conditional relative frequency table for gender calculates each cell value as the ratio of the joint frequency to the row total (gender group total, which is 0.50 for both male and female here).

Step2: Calculate male student values

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 student values

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 correct option

Compare calculated values to the given options.

Answer:

Which location would you most like to visit?

	Aspen, Colorado	New York, New York	Row totals
Female students	0.32	0.68	1