Drivers who use the bridges in the San Francisco area have the option of paying the tolls using a system called FasTrak (source: “All electronic tolling on the Golden Gate Bridge,” www.bayareafastrak.org). Suppose the regional transportation director is interested in increasing the percentage of drivers who use this method as opposed to stopping at the tollbooth to pay cash. Before beginning a comprehensive advertising campaign to promote FasTrak, the manager wishes to estimate the percentage of drivers who are currently using the system. To do this, 15 vehicles each day are tracked through the toll lanes of the bridges. The numbers of drivers who use FasTrak to pay their toll for a period of three months appear in the file titled Fastrak.

Determine if the distribution of the number of FasTrak users could be described as binomial with a population proportion equal to 0.50. Use a chi-square goodness-of-fit test and a significance level of 0.05.