Men and women (ages 22–40) were surveyed to choose a favorite free-time activity: playing sports, dancing, or watching movies/TV. The survey showed the following frequencies: Men—playing sports: 11; dancing: 3; watching movies/TV: 6 Women—playing sports: 5; dancing: 16; watching movies/TV: 9 Which of the following is a correct two-way frequency table for the data?

Respuesta :

Answer:

Step-by-step explanation:

Given that Men and women (ages 22–40) were surveyed to choose a favorite free-time activity: playing sports, dancing, or watching movies/TV. The survey showed the following frequencies: Men—playing sports: 11; dancing: 3; watching movies/TV: 6 Women—playing sports: 5; dancing: 16; watching movies/TV: 9

In two way table we can write Men and women as rows, and columns as the name of hobbies such as playing sports, dancing, etc

The two way table will be as follows:

                  Playing sports        Dancing          Watching movies     Total

Men                    11                          3                          6                       20

Women               5                          16                        9                        30

Total                   16                         19                       15                        50

The correct two-way frequency table for the data is b. Men and Women Leisure Time Activity Preferences.

Men and Women Leisure Time Activity Preferences

                 Playing Sports     Dancing     Watching movies/TV   Row totals

Men                  11                         3                          6                          20

Women             5                       16                          9                          30

Column totals 16                       19                         15                          50

What is a correct two-way frequency table?

A correct two-way frequency table displays frequencies for two categories (rows and columns) collected from categorical variables (men and women).

Answer Options:

Select one:

a. Men and Women Leisure Time Activity Preferences

                 Playing Sports     Dancing     Watching movies/TV   Row totals

Men                  0.22                  0.06                0.12                           0.12

Women             0.10                  0.32                0.18                           0.60

Column totals  0.32                  0.38                0.30                           1

b. Men and Women Leisure Time Activity Preferences

                 Playing Sports     Dancing     Watching movies/TV   Row totals

Men                  11                         3                          6                          20

Women             5                       16                          9                          30

Column totals 16                       19                         15                          50

c. Men and Women Leisure Time Activity Preferences

                 Playing Sports     Dancing     Watching movies/TV   Row totals

Men                  0.55                  0.15                      0.30                      1

Women             0.17                  0.53                      0.30                      1

Column totals 0.32                  0.38                      0.30                      1

d. Men and Women Leisure Time Activity Preferences

                 Playing Sports     Dancing     Watching movies/TV   Row totals

Men                   0.69                0.16                      0.40                     0.40

Women              0.31                0.84                     0.60                     0.60

Column totals    1                      1                           1                            1

Thus, the correct two-way frequency table for the data is Option B.

Learn more about two-way frequency tables at https://brainly.com/question/6985885