Question

a county has a total of 165,557 registered democratic and republican voters. there are 96,759 registered democrats, and 24,532 of those democrats voted in the last primary election. there are 51,489 registered republicans who did not vote in the last primary election.
a. organize the results in a two - way table. include the marginal frequencies
voted in the last
primary election
yes no total
political
party democrats
republicans
total

b. compare the number of democrats who voted in the last primary election with the number of republicans who voted in the last primary election.
more democrats voted in the last primary election.

Explanation:

Part (a)

Step 1: Find Democrats' No vote count

Total Democrats: \( 96,759 \). Democrats who voted (Yes): \( 24,532 \). So Democrats who did not vote (No): \( 96,759 - 24,532 = 72,227 \).

Step 2: Find total Republicans

Total voters: \( 165,557 \). Total Democrats: \( 96,759 \). So total Republicans: \( 165,557 - 96,759 = 68,798 \).

Step 3: Find Republicans' Yes vote count

Republicans who did not vote (No): \( 51,489 \). Total Republicans: \( 68,798 \). So Republicans who voted (Yes): \( 68,798 - 51,489 = 17,309 \).

Step 4: Fill the two - way table

• Democrats: Yes = \( 24,532 \), No = \( 72,227 \), Total = \( 96,759 \)
• Republicans: Yes = \( 17,309 \), No = \( 51,489 \), Total = \( 68,798 \)
• Total: Yes = \( 24,532+17,309 = 41,841 \), No = \( 72,227 + 51,489=123,716 \), Total = \( 165,557 \)

The two - way table is:

	Voted in the last Primary Election
Democrats	\( 24,532 \)	\( 72,227 \)	\( 96,759 \)
Republicans	\( 17,309 \)	\( 51,489 \)	\( 68,798 \)
Total	\( 41,841 \)	\( 123,716 \)	\( 165,557 \)

Part (b)

Step 1: Compare Democrats' Yes and Republicans' Yes

Democrats who voted (Yes): \( 24,532 \). Republicans who voted (Yes): \( 17,309 \).

Step 2: Find the difference

Difference: \( 24,532-17,309 = 7,223 \).

Answer:

(a):
The filled two - way table is as above.