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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 = 0.142​, upper bound = 0.508​, n = 1000

User BrendanMcK
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The point estimate of the population proportion is 0.325.

The margin of error for the confidence interval is 0.183.

The number of individuals is 325

How to determine the point estimate of the population proportion

To determine the point estimate of the population proportion, take the midpoint between the lower and upper bounds of the confidence interval.

Point estimate = (lower bound + upper bound) / 2 = (0.142 + 0.508) / 2 = 0.325

The point estimate of the population proportion is 0.325.

To calculate the margin of error for the confidence interval, find the half-width of the interval.

The half-width is obtained by subtracting the lower bound from the upper bound and dividing it by 2.

Half-width = (upper bound - lower bound) / 2 = (0.508 - 0.142) / 2 = 0.183 / 2 = 0.183

The margin of error for the confidence interval is 0.183.

The number of individuals in the sample with the specified characteristic, x, can be found using the proportion formula:

x = Population Proportion * Sample Size

x = 0.325 * 1000

x = 325 individuals

User Desert Rose
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