In Exercise 12 of Chapter 1 a study of characteristics of a successful salespersons indicated that...

In Exercise 12 of Chapter 1 a study of characteristics of a successful salespersons indicated that 44 of 120 sales managers rated reliability as the most important characteristic in salespersons. A study of a different industry showed that 60 of 150 sales managers rated reliability as the most important characteristic of a successful salesperson.

a.) At the 0.05 significance, do these opinions differ from one industry to the other?

Solutions

Expert Solution

H0: Null Hypothesis: p1 =p2 ( these opinions do not differ from one industry to the other)

HA: Alternative Hypothesis: p1 p2 ( these opinions differ from one industry to the other) (Claim)

n1 = 120

n2 = 150

1 = 44/120 = 0.3667

2 = 60/150 = 0.4

= 0.05

Pooled Proportion is given by:

Test Statistic is given by:

From Table, critical values of Z = 1.96

Since calculated value of Z = - 0.559 is greater than critical value of Z = - 1.96, the difference is not significant. Fail to reject null hypothesis.

Conclusion:
The data do not support the claim that these opinions differ from one industry to the other.

orchestra answered 2 years ago

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