The Department of Transportion (DOT) is attempting to determine the proportion o

Question

The Department of Transportion (DOT) is attempting to determine the proportion of drivers who require all passengers in the car to wear their seatbelt before putting the vehicle in drive. A survey of 69 drivers is performed and 41 people say they will not drive until all passengers in the vehicle are buckled up. To report their finding they want to create a 95% confidence interval. What would be the margin error for this confidence interval?

options:

1)

2)

3)

4)

5)

1)

0.0139

2)

0.0969

3)

0.1159

4)

0.0591

5)

0.0068

Explanation / Answer

here estimated proportion p=41/69=0.594

std error =(p(1-p)/n)1/2 =0.059

for 95% CI ; z=1.96

hence margin of error =z*std error =0.1159

hence option (3) is correct

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