In a press release dated October 2, 2008, The National Cyber Security Alliance reported that approximately 80% of adult Americans who own a computer claim to have a firewall installed on their computer to prevent hackers from stealing personal information. This estimate was based on a survey of 3000 people. It was also reported that in a study of 400 computers, only about 40% actually had a firewall installed.

(a) Suppose that the true proportion of computer owners who have a firewall installed is 0.80. If 20 computer owners are selected at random, what is the probability that more than 16 have a firewall installed? (Round your answer to five decimal places.) Incorrect: Your answer is incorrect. .

(b) Suppose that the true proportion of computer owners who have a firewall installed is 0.40. If 20 computer owners are selected at random, what is the probability that more than 16 have a firewall installed? (Round your answer to five decimal places.)

(c) Suppose that a random sample of 20 computer owners is selected and that 17 have a firewall installed. What is the probability of this outcome if the true proportion of computer owners who have a firewall installed is 0.40? (Round your answer to five decimal places.) What is the probability of this outcome if the true proportion of computer owners who have a firewall installed is 0.80? (Round your answer to five decimal places.) Is it more likely that the true proportion of computer owners who have a firewall installed is 0.40 or 0.80? It's more likely that the true proportion is 0.80. It's more likely that the true proportion is 0.40.