Question

A company decided to expand, so it opened a factory, generating 455 jobs.

• For the white-collar positions, 200 males and 200 females applied. Of the females who applied, 20% were hired, while only 15% of the males were hired.
• Of the 400 males applying for blue-collar positions, 75% were hired while 85% of the 100 females who applied were hired.

1. How does looking at the white-collar and blue collar positions separately suggest a preference for hiring women?
2. Do the overall data support the idea that the company hires women preferentially?
3. Explain the apparent inconsistency in these results.

Answer 1

Total jobs generated = 455

Number of males who applied for white-collar positions = 200

Number of males hired for white-collar positions = 15% = 30

Number of females who applied for white-collar positions = 200

Number of females hired for white-collar positions = 20% = 40

umber of males who applied for blue-collar positions = 400

Number of males hired for blue-collar positions = 75% = 300

Number of females who applied for blue-collar positions = 100

Number of females hired for blue-collar positions = 85% = 85

% of females hired upon applying  in both white collar jobs and blue collard jobs is more than men.

Since in white-collar jobs 20% of the females who applied were hired, but only 15% of men who applied were hired which shows a preference towards females

In blue-collar jobs 85% of the females who applied were hired, but only 75% of men who applied were hired which shows a preference towards females,

But if we speak in absolute numbers, females were given preference in white-collar jobs whereas males were given preference in blue-collar jobs

No the overall data doesn't suggest the company hires prefentially becuase total number of men hired is 330 and numbr of females hired are 140

Number of men hired are more than that of the females

85% of females were hired for blue-collar jobs but only 100 were interviewed, if the company had a preference for females, they should ve interviewed more females