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 84 drivers is performed and 30 people say they will not drive until all passengers in the vehicle are buckled up. To report their finding they want to create a 90% confidence interval. What would be the margin error for this confidence interval?

Question 11 options:

1)

2)

3)

4)

5)

1)

0.0857

2)

0.0094

3)

0.0523

4)

0.0045

5)

0.0669

Explanation / Answer

P = 30/84 = 0.357

At 90% cinfidence interval the critical value Z0.95 = 1.64

Margin of error = Z0.95 * sqrt(P * (1 - P)/n)

= 1.64 * sqrt (0.357 * 0.643/84)

= 0.0857

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