Question

justin read in the newspaper that 50% of voters in his city were voting
o\ on a local initiative measure. the poll claimed a margin of error of ±4%. find the lower bound of the confidence interval.
%
question 4
2 pts
justin read in the newspaper that 50% of voters in his city were voting
o\ on a local initiative measure. the poll claimed a margin of error of ±4%. justin wanted to know how many voters were polled and wrote an equation to solve. what answer should he have gotten?

question 5
2 pts
when 1376 voters were polled, 82% said they were voting \yes\ on an initiative measure. find the margin of error.
±37.1%
±27%
±2.7%

Explanation:

Step1: Recall the formula for confidence interval

The confidence interval is given by \(\text{Sample Proportion}\pm\text{Margin of Error}\).

Step2: Calculate the lower bound

The sample proportion \(p = 50\%=0.5\) and the margin of error \(E = 4\% = 0.04\).
The lower bound of the confidence interval is \(p - E\).
Substitute the values: \(0.5-0.04=0.46\) or \(46\%\).

Answer:

\(46\)