contestada

Suppose a study estimated that 61% of the residents of a community (with an
error range of 18 percentage points at 95% confidence) favor replacing the
playground equipment. Which of the following percentages of the
community's residents may favor replacing the playground equipment?

A. 82%
B. 54%
C. 72%
D. 95%

Respuesta :

Finding the confidence interval, it is found that the percentages of residents that may favor replacing the equipment is be given by:

B. 54%.

What is a confidence interval?

The interval is given by the estimate plus/minus the margin of error. The range is twice the margin of error.

In this problem, we have that:

  • The estimate is of 61%.
  • Since the range is of 18%, the margin of error is of 9%.

Hence the interval is given by:

(61% - 9%, 61% + 9%) = (52%, 70%).

Each of the values in the interval can be the percentage, hence option B is correct.

More can be learned about confidence intervals at https://brainly.com/question/15712887

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