Question

Ms. Maria Wilson is considering running for mayor of Bear Gulch, Montana. Before completing the petitions, she decides to conduct a survey of voters in Bear Gulch. A sample of 400 voters reveals that 300 would support her in the November election. (Round your answers to 3 decimal places.) Estimate the value of the population proportion.

Answer 1

The estimated population proportion of voters in Bear Gulch that support Ms. Maria Wilson, based on the survey of 400 voters where 300 indicated their support, is 75%.

Step-by-step explanation:

Ms. Maria Wilson is assessing her potential voter support in Bear Gulch, Montana, and a survey of 400 voters indicates that 300 would support her. To estimate the population proportion of support, we would use the sample proportion. The sample proportion (often denoted as p) is calculated by dividing the number of successes (votes in her favor) by the total number of trials (the size of the sample).

Therefore, the estimated population proportion is:

p = Number of favorable votes / Total number of voters surveyed

p = 300 / 400 = 0.750

Hence, we estimate that 75% of the voter population in Bear Gulch may support Ms. Wilson in the upcoming election.

Answer 2

Answer: 0.750

Step-by-step explanation:

Let p be the population proportion .

We are given that a sample of 400 voters reveals that 300 would support her in the November election.

Then the sample proportion for this situation will be :-

`\hat{p}=(300)/(400)=0.750`

Since the sample proportion is the best point estimate for the population proportion.

Therefore, the estimated value of the population proportion =0.750