Binomial probability distributions are used in business, science, engineering, and other fields. Suppose you work for a marketing agency and have to create a television ad for Brand A toothpaste. The toothpaste manufacturer claims that 40% of the toothpaste buyers prefer Brand A to Brand B. Your agency conducts a survey to check whether this claim is reasonable.

Respond to the following:

1.How would you do the sample survey?

- Explain how you would conduct the survey.

- What are the ethical implications if the manufacturer of Brand A toothpaste asked you to survey only its employees?

2.How would you interpret the outcomes?

- After conducting a random sample of people who do not work for the manufacturer, you found that 35/100 prefer Brand A. Could the manufacturer's claim still be true?

- Your random sample of 100 found only 25 people who preferred Brand A. Would you still be justified in running the ad?