question 141 pts in estimating a population proportion using a large sample, the value of is assumed to be 0.35, and its 95% error margin is 0.02. find the sample size to meet the error margin.

Respuesta :

The sample size to meet the error margin is 2185.

What is the error margin?

The margin of error is a statistic that describes how much random sampling error there is in survey results. One should have less faith that a poll's findings would accurately reflect those of a population census the higher the margin of error.

Here, we have

The sample size (n) is calculated according to the formula:

n =  p(1 - p) (z²/ e²)

Where:

z = 1.96 for a confidence level (α) of 95%, p = proportion, e = margin of error.

z = 1.96, p = 0.35, e = 0.02

n =  0.35(1 - 0.35) (1.962/ 0.022)

n = (0.2275)(9604)

= 2184.91

n ≈ 2185

Hence, the sample size meets the error margin is 2185.

To learn more about the error margin from the given link

https://brainly.com/question/24289590

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