A traffic study found that of 972 automobiles entering a busy intersection during the period from 4 P.M. to 7 P.M., 357 turned left, 321 turned right, and 294 drove straight through the intersection. 

a. Construct a one-way table for the study. 

b. Find a 95% confidence interval for the true proportion of automobiles that drive straight through the intersection during this period.

c. Find a 95% confidence interval for the difference between the proportions of automobiles that turn left and turn right, respectively, during this period. Interpret the interval.

d. Do the data disagree with the hypothesis that the traffic is equally divided among the three directions? Test using α = .05.

e. Do the data provide sufficient evidence to indicate that more than one-third of all automobiles entering the intersection turn left? Test using α = .05.