Final answer:
The point estimate of the population proportion is 0.725, the margin of error is 0.151, and the number of individuals in the sample with the specified characteristic is 725.
Step-by-step explanation:
To determine the point estimate of the population proportion, we need to locate the midpoint of the confidence interval provided. The lower bound is 0.574, and the upper bound is 0.876. The point estimate is found by taking the average of the lower and upper bounds: (0.574 + 0.876) / 2 = 0.725. Therefore, the point estimate of the population proportion is 0.725.
The margin of error for the confidence interval is the distance from the point estimate to one of the bounds. We can calculate it by subtracting the point estimate from the upper bound: 0.876 - 0.725 = 0.151, or by subtracting the lower bound from the point estimate: 0.725 - 0.574 = 0.151. Therefore, the margin of error is 0.151.
To find the number of individuals in the sample with the specified characteristic, X, we multiply the point estimate by the total sample size: 0.725 * 1000 = 725. Therefore, the value of X, or the number of individuals with the specified characteristic in the sample, is 725.