contestada

Please! Help! The table below shows preferences of dancing or playing sports for male and female students:


Do you prefer dancing or playing sports?
Playing sports Dancing Row totals
Male students 18 16 34
Female students 18 35 53
Column totals 36 51 87


Mason mistakenly calculated the conditional relative frequency for female students who prefer playing sports to be 21%. What statistic did Mason actually calculate, and what should he have done differently?

A)He calculated the marginal relative frequency of female students who prefer playing sports. The conditional relative frequency for female students who prefer playing sports is 34%.

B)He calculated the joint relative frequency of female students who prefer playing sports. The conditional relative frequency for female students who prefer playing sports is 50%.

C)He calculated the marginal relative frequency of female students who prefer playing sports. The conditional relative frequency for female students who prefer playing sports is 50%.

D)He calculated the joint relative frequency of female students who prefer playing sports. The conditional relative frequency for female students who prefer playing sports is 34%.

Respuesta :

D)He calculated the joint relative frequency of female students who prefer playing sports. The conditional relative frequency for female students who prefer playing sports is 34%.

Answer:

D)   He calculated the joint relative frequency of female students who prefer playing sports. The conditional relative frequency for female students who prefer playing sports is 34%.

Step-by-step explanation:

The table is given as:

                          Playing sports Dancing     Row totals

Male students           18                      16              34

Female students       18                      35             53

Column totals  36                       51               87

  • We know that the joint relative frequency of an outcome is calculated as dividing the frequency of the outcome by the grand total.

Hence, when we divide the frequency of the female students who prefer playing sports i.e. 18 by the grand total i.e. 87 ; we obtain:

18/87=0.20689

which is approximately equal to 21%.

  • Hence, in order to calculate the conditional relative frequencies she should have divided the required frequency by the row total;.

     Hence, here we divide the  frequency of the female students who prefer playing sports i.e. 18 by the row total i.e. 53 ; we obtain:

18/53-0.3396

which is approximately equal to 34%.

Hence, option: D is correct.

Otras preguntas