Question

6. Use the table below, based on data from students enrolled in BMGT 230/230B this semester, to answer/complete parts a. through e. (the cell values are frequencies):

	Sex
Political Attitude	Male	Female
Very Conservative	20	2
Somewhat Conservative	62	25
Middle-of-the-Road	100	67
Somewhat Liberal	80	62
Very Liberal	11	21

a. Determine the probability a student selected at random is Conservative (meaning either Very Conservative or Somewhat Conservative).
b. Determine the probability a Male student selected at random is Conservative (meaning either Very Conservative or Somewhat Conservative).
c. Determine the probability a Female student selected at random is Conservative (meaning either Very Conservative or Somewhat Conservative).
d. Given your answers to Parts a, b, and c, are the two dimensions, Political Attitude and Sex, statistically independent?
e. Given your answer to Part d, are the Political Attitudes of Males and Females in the course generally Similar or Different?

Answer 1

Political Attitude	Male			Female			Total
Very Conservative	20	A		2	G		22	M
Somewhat Conservative	62	B		25	H		87	N
Middle-of-the-Road	100	C		67	I		167	O
Somewhat Liberal	80	D		62	J		142	P
Very Liberal	11	E		21	K		32	Q
Total	273	F		177	L		450	R

a. Determine the probability a student selected at random is Conservative (meaning either Very Conservative or Somewhat Conservative).

Probability = P1 = (M + N) / R = (22 + 87) / 450 = 0.2422

b. Determine the probability a Male student selected at random is Conservative (meaning either Very Conservative or Somewhat Conservative).

P2 = (A + B) / F = (20 + 62) / 273 = 0.3004

c. Determine the probability a Female student selected at random is Conservative (meaning either Very Conservative or Somewhat Conservative).

P3 = (G + H) / L = (2 + 25) / 177 = 0.1525

d. Given your answers to Parts a, b, and c, are the two dimensions, Political Attitude and Sex, statistically independent?

P1 is not equal to P2 x P3. Hence, the two dimensions Political Attitude and Sex, are not statistically independent.

e. Given your answer to Part d, are the Political Attitudes of Males and Females in the course generally Similar or Different?

Since the probabilities are different and Political Attitude and Sex, are not statistically independent; the Political Attitudes of Males and Females in the course is generally Different.