Question

A survey of 550 male managers and 650 female managers was conducted. All 1,200 managers identified whether, for each of six characteristics, the characteristic is important to consider when hiring a new employee. For each of the six characteristics, the percent of managers surveyed who identified that characteristic as important to consider is given in the following table. SURVEY RESULTSCharacteristic Percent Work Experience 72%Proficiency in English 68%Ability to Follow Directions 65%Specific Occupational Skill 60%Computer Expertise 58%Appropriate Attire and Behaviour 55%The number of managers surveyed who identified work experience as an important characteristic to consider was approximately what percent greater than the number who identified appropriate attire and behavior as an important characteristic to consider?
A. 15%
B. 20%
C. 25%
D. 30%
E. 35%

Answer 1

Answer:

Correct option is (B). 20%.

Step-by-step explanation:

The number of managers is, 1200.

The percentage of managers who identified work experience as an important characteristic to consider is, P (W) = 72%.

The percentage of managers who identified appropriate attire and behavior as an important characteristic to consider is, P (AB) = 55%.

Compute the number of managers who identified work experience as an important characteristic to consider as follows:

$n(W)=1200\times P(W)\\=1200\times\frac{72}{100}\\=864$

Compute the number of managers who identified appropriate attire and behavior as an important characteristic to consider as follows:

$n(AB)=1200\times P(AB)\\=1200\times\frac{55}{100}\\=660$

Compute approximately what percent greater is P (W) than P (AB) as follows:

$P(W>AB)=\frac{n(W)-n(AB)}{1200}=\frac{864-660}{1200}=\frac{204}{1200}=0.17\approx0.20$

Thus, the number of managers surveyed who identified work experience as an important characteristic to consider was approximately 20% percent greater than the number who identified appropriate attire and behavior as an important characteristic to consider.

Correct option is (B).