Refer to Example 5.10. Again, assume that 60% of all workers at a large plant are in favor of unionization. In a random sample of 100 plant workers, what is the probability that fewer than half are in favor of unionization?

Example 5.10

Refer to Example 4.13 and the problem of sampling workers to determine whether they are in favor of unionization. We assumed that 60% of all workers at a large plant were, in fact, in favor of unionization. Suppose we will randomly sample 100 plant workers and ask each if he or she is or is not in favor of unionization. Use a computer and statistical software to simulate the sampling distribution of p̂, the sample proportion of workers in favor of unionization. What properties do you observe?

Example 4.13

Suppose a poll of 20 employees is taken in a large company. The purpose is to determine x, the number who favor unionization. Suppose that 60% of all the company’s employees favor unionization.