Categorical Data Worksheet (Page 3 of 3) in pdf

Categorical Data Worksheet Page 3

AP FR 2. The table below shows the political party registration by gender of all 500 registered

voters in Franklin Township.

PARTY REGISTRATION–FRANKLIN TOWNSHIP

Party W

Party X

Party Y

Total

Female

120

300

Male

124

200

Total

244

168

500

(a) Given that a randomly selected registered voter is a male, what is the probability that he is

registered for Party Y?

(b) Among the registered voters of Franklin Township, are the events “is a male” and “is

registered for Party Y” independent? Justify your answer based on probabilities calculated from

the table above.

segmented bar graph, constructed from the data in the party registration–Franklin Township table,

shows party-registration distributions for males and females in Franklin Township.

In Lawrence Township, the proportions of all registered voters for Parties W, X, and Y are the

same as for Franklin Township, and party registration is independent of gender. Complete the

graph below to show the distributions of party registration by gender in Lawrence Township.

Categorical Data Worksheet Page 3