Rogers provides cable, phone, and internet services to customers, some of whom subscribe to “packages” including several services. Nationwide, suppose that 30% of Rogers customers are “package subscribers” and subscribe to all three types of service. A local representative in Toronto wonders if the proportion in his region is the same as the national proportion.
QUESTIONS: 

If the same proportion holds in his region and he takes a survey of 100 customers at random from his subscriber list:
1. What proportion of customers would you expect to be package subscribers?
2. What is the standard deviation of the sample proportion?
3. What shape would you expect the sampling distribution of the proportion to have?
4. Would you be surprised to find out that in a sample of 100, 49 of the customers are package subscribers? Explain. What might account for this high percentage?