Chapter 11.5, Problem 14E

To determine

To find : the interval in which the total number of residents with red hair is most likely to lie

Answer to Problem 14E

The interval is $8.96\%-16.96\%$

Explanation of Solution

Given information : The question is

A town has $5000$ residents. A survey finds that $81$ residents out of the sample of $625$ residents have red hair and the margin of error is $\pm 4\%$

Calculation :

  $\frac{81}{625}\times 100=12.96\%$

The interval is

  $8.96\%-16.96\%$