Answer:
The percentage is between 66% to 90%
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,
[tex]=\text{Average}\pm \text{Margin of error}[/tex]
or
[tex]=\overline X\pm Z\dfrac{s}{\sqrt{n}}[/tex]
where,
[tex]\overline X[/tex] = is the mean
Z = Z-value of confidence interval
s = standard deviation
n = number of observations
Putting the values, confidence interval will be,
[tex]=78\pm 12\\\\=66\%\ to\ 90\%[/tex]
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.
