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Yuliya22 [10]
2 years ago
8

Use the given confidence interval limits to find the point estimate and the margin of error E.

Mathematics
1 answer:
nika2105 [10]2 years ago
4 0

Answer:

The point estimate = 0.507

Margin error of  a given confidence interval = 0.032

Step-by-step explanation:

The point estimate is calculated by using the sample statistics of a population.

Thus; point estimate can be expressed with the formula:

\overline x = \dfrac{\sum \limits ^n _{i=1} \ x _i}{n}

Given that : 0.475 < p < 0.539

\overline x = \dfrac{0.475+0.539}{2}

\overline x = \dfrac{1.014}{2}

\overline x = 0.507

The point estimate = 0.507

The margin of error  which shows  the percentage of points that the derived results would differ from that of the given population value can be calculated with the formula:

Margin error of  a given confidence interval = \mathtt{\dfrac{upper \ confidence \ limit - lower  \ confidence \ limit  }{2}}

Margin error of  a given confidence interval =  \dfrac{0.539-0.475}{2}

Margin error of  a given confidence interval = \dfrac{0.064}{2}

Margin error of  a given confidence interval = 0.032

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