Question

A company employs 400 salespeople. Of these, 83 received a bonus last year, 100 attended a special sales training program at the beginning of last year, and 42 both attended the special sales training program and received a bonus. (Note: the bonus was based totally on sales performance.) a) What proportion of the 400 salespeople received a bonus last year? b) What proportion of the 400 salespeople attended the special sales training program at the beginning of last year? c) What proportion of the 400 salespeople both attended the special sales training program and received a bonus? d) What proportion of the salespeople who attended the special sales training program received a bonus? e) Based on your answers to parts a and d, does the special sales training program seem to have been effective? Explain your answer.

Answer 1

A) 83/400= 0,2075

B) 100/400=0,25

C) 42/400= 0,105

D) 42/100= 0,42

E) The special training program was effective.

Step-by-step explanation:

Total population= 400 salespeople

Received a bonus last year= 83 salespeople

Attended a special sales training program= 100 salespeople

Both attended sales training and received a bonus= 42 salespeople

a) You need to calculate the number of salespeople that receive a bonus over total population

83/400= 0,2075 The proportion of salespeople that receive a bonus is 0,2075

b) You need to calculate the number of salespeople that attended a special program over total population

100/400= 0,25 The proportion of salespeople that attended a special program is 0,35

c) 42/400= 0,105 The proportion of salespeople that receive a bonus and attended a special program is 0,105

d) You need to calculate the proportion of people that having attended received a bonus.

42/100= 0,42 The proportion of salespeople that receive a bonus having attended a special program is 0,42

e) The special training program was effective. The proportion of people that receive a bonus over the total population that didn't attend the program (41/300=0,14) is inferior to the proportion of salespeople that attend the program and receive a bonus. Meaning that there are more chances of receiving a bonus taking a training program.