Chapter 4.3, Problem 96E

(a)

To determine

To explain would you be surprised if a census revealed that $26\%$ of the cars on I- $195$ in Miami on a weekday morning were white or not.

Answer to Problem 96E

No.

Explanation of Solution

No, we will not be surprised if a census revealed that $26\%$ of the cars on I- in Miami on a weekday morning were white because the result that the traffic analyst conducted gives very near percentage of cars that were white on I- $195$ in Miami on a weekday morning. Thus, we will not be surprised as the result is approximately the same as what the census has given us.

(b)

To determine

To explain how the traffic analyst could decrease the margin of error.

Explanation of Solution

The traffic analyst could decrease the margin of error by increasing the sample size of the data that the traffic analyst has used or by reducing the variability i.e. the less your data varies the more precisely you can estimate the result or by using the lower confidence level in the sampling method.