male and female students were asked at which location they would most want to vacation. they had the…

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

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

Answer

Explanation:

Step1: Define conditional frequency (gender)

A two-way conditional relative frequency table for gender calculates each cell value by dividing the joint frequency by the row total (gender total).

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 = 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 = 1

Step4: Match to options

Compare calculated values to the given tables.

Answer:

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