509 views
5 votes
Determine the point estimate of the population​ proportion, the margin of error for the following confidence​ interval, and the number of individuals in the sample with the specified​ characteristic, x, for the sample size provided.

Lower bound= 0.583, upper bound​=0.877, n=1500

User ACarter
by
8.7k points

1 Answer

3 votes

Answer:To determine the point estimate of the population proportion, we can take the midpoint of the confidence interval. In this case, the lower bound is 0.583 and the upper bound is 0.877.

The point estimate is calculated by finding the average of the lower and upper bounds:

Point estimate = (lower bound + upper bound) / 2

Point estimate = (0.583 + 0.877) / 2 = 0.73

Therefore, the point estimate of the population proportion is 0.73.

The margin of error can be calculated by finding half of the range of the confidence interval. In this case, the range is the difference between the upper and lower bounds:

Margin of error = (upper bound - lower bound) / 2

Margin of error = (0.877 - 0.583) / 2 = 0.147

Therefore, the margin of error for this confidence interval is 0.147.

To find the number of individuals in the sample with the specified characteristic (x), we need to know the sample size (n), which is provided as 1500. However, the question does not provide the proportion or the rate at which the specified characteristic occurs in the population, so we cannot determine the exact number of individuals with that characteristic in the sample.

Explanation:

User Cgreeno
by
7.6k points

No related questions found