a store polled customers about the fit of jeans they preferred. the two - way frequency table shows the…

a store polled customers about the fit of jeans they preferred. the two - way frequency table shows the results of the poll.\njeans fit preference\n| |regular|slim|boot - cut|total|\n|--|--|--|--|--|\n|male|28|14|22|64|\n|female|32|16|8|56|\n|total|60|30|30|120|\nwhich two - way table accurately represents the relative frequency for the whole table in this situation?\njeans fit preference\n| |regular|slim|boot - cut|total|\n|--|--|--|--|--|\n|male|0.5|0.25|0.39|0.53|\n|female|0.5|0.25|0.13|0.47|\n|total|0.5|0.5|0.25|1|\njeans fit preference\n| |regular|slim|boot - cut|total|\n|--|--|--|--|--|\n|male|0.23|0.12|0.18|0.53|\n|female|0.27|0.13|0.07|0.47|\n|total|0.5|0.25|0.25|1|\njeans fit preference\n| |regular|slim|boot - cut|total|\n|--|--|--|--|--|\n|male|0.47|0.47|0.73|0.53|\n|female|0.53|0.53|0.26|0.47|\n|total|1|1|1|1|\njeans fit preference\n| |regular|slim|boot - cut|total|\n|--|--|--|--|--|\n|male|0.44|0.22|0.34|1|\n|female|0.57|0.29|0.14|1|\n|total|0.5|0.25|0.25|1|

a store polled customers about the fit of jeans they preferred. the two - way frequency table shows the results of the poll.\njeans fit preference\n| |regular|slim|boot - cut|total|\n|--|--|--|--|--|\n|male|28|14|22|64|\n|female|32|16|8|56|\n|total|60|30|30|120|\nwhich two - way table accurately represents the relative frequency for the whole table in this situation?\njeans fit preference\n| |regular|slim|boot - cut|total|\n|--|--|--|--|--|\n|male|0.5|0.25|0.39|0.53|\n|female|0.5|0.25|0.13|0.47|\n|total|0.5|0.5|0.25|1|\njeans fit preference\n| |regular|slim|boot - cut|total|\n|--|--|--|--|--|\n|male|0.23|0.12|0.18|0.53|\n|female|0.27|0.13|0.07|0.47|\n|total|0.5|0.25|0.25|1|\njeans fit preference\n| |regular|slim|boot - cut|total|\n|--|--|--|--|--|\n|male|0.47|0.47|0.73|0.53|\n|female|0.53|0.53|0.26|0.47|\n|total|1|1|1|1|\njeans fit preference\n| |regular|slim|boot - cut|total|\n|--|--|--|--|--|\n|male|0.44|0.22|0.34|1|\n|female|0.57|0.29|0.14|1|\n|total|0.5|0.25|0.25|1|

Answer

Explanation:

Step1: Recall relative - frequency formula

Relative frequency of a cell = $\frac{\text{Frequency of the cell}}{\text{Total frequency of the whole table}}$ The total frequency of the whole table is 120.

Step2: Calculate relative - frequency for male and regular

Relative frequency = $\frac{28}{120}\approx0.23$

Step3: Calculate relative - frequency for male and slim

Relative frequency = $\frac{14}{120}\approx0.12$

Step4: Calculate relative - frequency for male and boot - cut

Relative frequency = $\frac{22}{120}\approx0.18$

Step5: Calculate relative - frequency for female and regular

Relative frequency = $\frac{32}{120}\approx0.27$

Step6: Calculate relative - frequency for female and slim

Relative frequency = $\frac{16}{120}\approx0.13$

Step7: Calculate relative - frequency for female and boot - cut

Relative frequency = $\frac{8}{120}\approx0.07$

Step8: Calculate row and column totals

Row totals for male: $0.23 + 0.12+0.18 = 0.53$ Row totals for female: $0.27 + 0.13+0.07 = 0.47$ Column totals for regular: $0.23 + 0.27 = 0.5$ Column totals for slim: $0.12 + 0.13 = 0.25$ Column totals for boot - cut: $0.18+0.07 = 0.25$ Total of all relative frequencies is 1.

Answer:

Regular Slim Boot - cut Total
Male 0.23 0.12 0.18 0.53
Female 0.27 0.13 0.07 0.47
Total 0.5 0.25 0.25 1