Question

the following table shows the number of registered voters in three different regions and the political party in which they are registered.
which of the following statements is supported by the table?
a the region with the greatest proportion of voters who are registered democrat is region a.
b the region with the least proportion of voters who are registered republican is region a.
c the region with the greatest proportion of voters who are registered republican is region b.
d the proportion of voters who are registered independent in region a is less than the proportion of voters who are registered independent in region c.
e the proportion of voters who are registered republican in region c is greater than the proportion of voters who are registered republican in region b.

Explanation:

Step1: Calculate proportion for each option

• Option A: Region A Democrats proportion: $\frac{100}{250}=\frac{2}{5} = 0.4$. Region B Democrats proportion: $\frac{65}{165}=\frac{13}{33}\approx0.394$. Region C Democrats proportion: $\frac{300}{600}=0.5$. Region A is not the region with greatest proportion of Democrats.
• Option B: Region A Republicans proportion: $\frac{100}{250}=0.4$. Region B Republicans proportion: $\frac{75}{165}=\frac{5}{11}\approx0.455$. Region C Republicans proportion: $\frac{200}{600}=\frac{1}{3}\approx0.333$. Region A is not the region with least proportion of Republicans.
• Option C: Region B total voters = 165. Region B Republicans = 75. Proportion of Republicans in Region B: $\frac{75}{165}=\frac{5}{11}\approx0.455$. Region B Democrats = 65. Proportion of Democrats in Region B: $\frac{65}{165}=\frac{13}{33}\approx0.394$. Region B Independents = 25. Proportion of Independents in Region B: $\frac{25}{165}=\frac{5}{33}\approx0.152$. Region B is not the region with greatest proportion of Republicans.
• Option D: Region A Independents = 50. Region A total voters = 250. Proportion of Independents in Region A: $\frac{50}{250}=0.2$. Region C Independents = 100. Region C total voters = 600. Proportion of Independents in Region C: $\frac{100}{600}=\frac{1}{6}\approx0.167$. $0.2>0.167$.
• Option E: Region B Republicans = 75. Region B total voters = 165. Proportion of Republicans in Region B: $\frac{75}{165}=\frac{5}{11}\approx0.455$. Region C Republicans = 200. Region C total voters = 600. Proportion of Republicans in Region C: $\frac{200}{600}=\frac{1}{3}\approx0.333$. $0.455 > 0.333$.

Answer:

E. The proportion of voters who are registered Republican in region B is greater than the proportion of voters who are registered Republican in region C.