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Afina-wow [57]
3 years ago
9

suppose a study estimated that 78% of the residents of a town (with an error range plus/minus12 percentage points at 95% confide

nce) favor building a new community center. which of the following percentages of the towns residents may favor building a new community center
Mathematics
2 answers:
diamong [38]3 years ago
6 0

Answer:

<em>The percentage is between </em><em>66% to 90%</em>

Step-by-step explanation:

Confidence Interval-

A confidence interval is the range of values we are fairly sure the true value will lie in that range or interval.

Mathematically, the range of confidence interval of a sample is,

=\text{Average}\pm \text{Margin of error}

                                 or

=\overline X\pm Z\dfrac{s}{\sqrt{n}}

where,

\overline X = is the mean

Z = Z-value of confidence interval

s = standard deviation

n = number of observations

Putting the values, confidence interval will be,

=78\pm 12\\\\=66\%\ to\ 90\%

Therefore, any percentage value in between 66% to 90% will be the percentages of the towns residents who may favor building a new community center.

abruzzese [7]3 years ago
4 0

the Answer is 69% -Apex

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