Question

In a sample of voters in Harrisburg, 18 out of 25 favored creating a new shopping center. If 50,000 people vote in the next Harrisburg election, how many are likely to vote in favor of the new shopping center based on this sample?

Answer 1

36,000 voters

Explanation:

Here we have a question on proportion

Proportion of voters that favored creating a new shopping center = 18/25

That is the point estimate of voters that favored creating a new shopping center = 18/25

Therefore, among 50,000 voters in Harrisburg the number of voters that are likely to vote in favor of the new shopping center, based on the point estimate of the sample is given by the following expression;

18/25 × 50,000 = 36,000 voters.

Answer 2

36,000 people are likely to vote in favour of the new shopping centre

Step-by-step explanation:

Given

Population = 50,000

Total Sample = 25

18 favoured opening a new shopping centre

Required

Likely number of people to vote in favor of the new shopping center.

First, we need to represent the sample in proportion.

Let p represent the proportion

Since 18 out of 25 are in support of opening a new center,

p = 18/25

Having solved for the proportion,the next step is to calculate the expected number of people.

This is calculated by multiplying p by the total population.

Given that population = 50,000

The expected outcome = 18/25 * 50,000

Expected outcome = 18 * 2,000

Expected outcome = 36,000

Hence, 36,000 people are likely to vote in favour of the new shopping centre