Companies often make flextime scheduling available to help recruit and keep female employees who have children. Other workers sometimes view these flextime schedules as unfair. An article in USA Today indicates that 25% of male employees state that they have to pick up the slack for moms working flextime schedules. (Data extracted from D. Jones, "Poll Finds Resentment of Flextime," www.usatoday.com, May 11, 2007.) Suppose you select a random sample of 100 male employees working for companies offering flextime.
a. What is the probability that 25% or fewer male employees will indicate that they have to pick up the slack for moms working flextime?
b. What is the probability that 20% or fewer male employees will indicate that they have to pick up the slack for moms working flextime?
c. If a random sample of 500 is taken, how does this change your answers to (a) and (b)?