Question

To investigate whether there is a significant difference between two regions of a state in the percent of voters who intend to vote for the incumbent governor in the next election, a polling agency interviewed 300 randomly selected voters from the north of the state and 400 randomly selected voters from the south of the state. Of those interviewed, 200 from the north and 325 from the south indicated they intended to vote for the incumbent governor in the next election.
Required:
What is the most appropriate method for analyzing the results?

Answer 1

Answer:

Given that to investigate whether there is a significant difference between two regions of a state in the percent of voters who intend to vote for the incumbent governor in the next election, a polling agency interviewed 300 randomly selected voters from the north of the state and 400 randomly selected voters from the south of the state, and of those interviewed, 200 from the north and 325 from the south indicated they intended to vote for the incumbent governor in the next election, to determine the most appropriate method for analyzing the results must be taken into account that there is a differentiation in the economic, political, social and ideological characteristics between voters from the North and those from the South, with which both cases must be analyzed separately:

Thus, of the 300 voters from the north, 200 indicated that they would vote for the incumbent governor, while of the 400 voters from the south, 325 said the same.

In this way, the percentages of affirmation of each place are the following:

200/300 = 0.66 = 66% of northern voters said they would vote for incumbent governor.

325/400 = 0.8125 = 81% of southern voters said they would vote for incumbent governor