# Question: An advertisement claims that two out of five doctors recommend

An advertisement claims that two out of five doctors recommend a certain pharmaceutical product. A random sample of 20 doctors is selected, and it is found that only 2 of them recommend the product.

a. Assuming the advertising claim is true, what is the probability of the observed event?

b. Assuming the claim is true, what is the probability of observing two or fewer successes?

c. Given the sampling results, do you believe the advertisement? Explain.

d. What is the expected number of successes in a sample of 20?

a. Assuming the advertising claim is true, what is the probability of the observed event?

b. Assuming the claim is true, what is the probability of observing two or fewer successes?

c. Given the sampling results, do you believe the advertisement? Explain.

d. What is the expected number of successes in a sample of 20?

## Relevant Questions

Five percent of the many cars produced at a plant are defective. Ten cars made at the plant are sent to a dealership. Let X be the number of defective cars in the shipment. a. Under what conditions can we assume that X is a ...An applicant for a faculty position at a certain university is told by the department chair that she has a 0.95 probability of being invited for an interview. Once invited for an interview, the applicant must make a ...The Dutch consumer-electronics giant, Philips, is protected against takeovers by a unique corporate voting structure that gives power only to a few trusted shareholders. A decision of whether to sever Philips' links with the ...Find the following probabilities: P(-1 < Z < 1), P(-1.96 < Z < 1.96), P (-2.33 < Z < 2.33). If X is normally distributed with mean 500 and standard deviation 20, find the probability that X will be above 555.Post your question