Multiple choice, asap

suppose a study estimated that 78% of the residents of a town (with an error range of ±8 percentage points at 95% confidence) favor expanding the park and recreation department. which of the following percentages of the town's residents may favor expanding the park and recreation department?

a. 62%

b. 52%

c. 92%

d. 72%

D. 72%

Step-by-step explanation:

The confidence interval for proportion is given by :-

, where E is the margin of error.

Given : Sample size :

The proportion of the residents of a town : p=0.78

Margin of error :

Significance level :

Critical value :

Now, the 95% confidence Interval for the proportion of residents of a town will be :-

Thus , the

95% confidence Interval for the percentage of residents of a town will be (70%, 86%)

From all the given options only 72 % lies in the confidence interval.

Hence, 72% of the town's residents may favor expanding the park and recreation department