Concept explainers
Exercises 11–15 refer to diagnostic tests. A false negative in a diagnostic test is a test result that is negative even though the patient has the condition. A false positive, on the other hand, is a test result that is positive although the patient does not have the condition.
Pregnancy Test An over-the-counter pregnancy test claims to be 99% accurate. Actually, what the insert says is that if the test is performed properly, it is 99% sure to detect a pregnancy.
(a) What is the probability of a false negative?
(b) Let us assume that the probability is 98% that the test result is negative for a woman who is not pregnant. If the woman estimates that her chances of being pregnant are about 40% and the test result is positive, what is the probability that she is actually pregnant?
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Finite Mathematics & Its Applications (12th Edition)
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- does the result indicate whether the treatment is effective?arrow_forwardHoma An education researcher claims that 60% of college students work year-round. In a random sample of 300 college students, 180 say they work year-round. Al a=0.05, is there enough evidence to reject the researcher's claim? Complete parts (a) through (e) below. O C. Atleast % of college students work year-round. book OD. The percentage of college students who work year-round is not %. cer Contents Let p be the population proportion of successes, where a success is a college student who works year-round. State Ho and H. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) O A. Ho p# GB. H, p=0.60 media Library OC. Ho P Plan OF. Ho ps H, p Tor Success (b) Find the critical value(s) and identify the rejection region(s). sible Resources Identify the critical value(s) for this test. for Success %3D (Round to two decimal places as needed. Use a comma to separate answers as needed.) Clear all Check answer View an…arrow_forwardSleep apnea is a condition in which the sufferers stop breathing momentarily while they are asleep. This condition results in lack of sleep and extreme fatigue during waking hours. A current estimate is that 15 million out of the 312.7million Americans suffer from sleep apnea, or approximately 4.8%. A safety commission is concerned about the percentage of commercial truck drivers who suffer from sleep apnea. They do not have any reason to believe that it would be higher or lower than the population’s percentage. To test the claim that the percentage of commercial truck drivers who suffer from sleep apnea is not 4.8%, a simple random sample of 339 commercial truck drivers is examined by a medical expert, who concludes that 7 suffer from sleep apnea. Does this evidence support the claim that the percentage of commercial truck drivers who suffer from sleep apnea is not 4.8%? Use a 0.05 level of significance. Step 2 of 3 : Compute the value of the test statistic. Round your…arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill