A psychologist believes that 80% of male drivers continue to drive when they are lost, hoping to find the location they seek rather than asking for directions. To examine this belief, he took a random sample of 350 male drivers and they were asked what they did when lost.

a) Identify the subjects of interest. [1]

b) Provide a description of the variable of interest and identify the type of the variable. [1]

c) Identify the statistic of interest and the notation. [1]

d) What is the sampling distribution of the statistic defined in part (c)? Note: Make sure you check all the necessary conditions. [4]

e) Find the probability that less than 75% of male drivers (from a random sample of 350 men) said they would continue to drive when they are lost.[2]