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)
- A physician claims that a person's diastolic blood pressure can be lowered if, instead of taking a drug, the person meditates each evening. Ten subjects are randomly selected and pretested. Their blood pressures, measured in millimeters of mercury, are listed below. The 10 patients are instructed in basic meditation and told to practice it each evening for one month. At the end of the month, their blood pressures are taken again. The data are listed below. Test the physician's claim. Use α = 0.01. Patient 1 2 3 4 5 6 7 8 9 10 Before 85 96 92 83 80 91 79 98 93 96 After 82 90 92 75 74 80 82 88 89 80arrow_forwardTime is generally thought of as the dependant variable. O True Falsearrow_forwardAccording to privacy what data dose the government have about you? who has access the data? how is your data protected?arrow_forward
- Asians and Hispanics. At a=0.05, can you reject the claim that the proportion of newlywed Asians who have a spouse of a different race or ethnicity is the same as the proportion of newlywed Hispanics who have a spouse of a different race or ethnicity?arrow_forwardA certain virus affects 0.5% of the population. A test used to detect the virus in a person is positive 90% of the time if the person has the virus (true positive) and 15% of the time if the person does not have the virus (false positive). Fill out the remainder of the following table and use it to answer the two questions below based on a total sample of 100,000 people. Virus No Virus Total Positive Test Negative Test Total 100,000 a) Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest hundredth of a percent and do not include a percent sign. % b) Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest hundredth of a percent and do not include a percent sign.arrow_forwardwhat is question e asking??arrow_forward
- You have 10 women who are pregnant. They all took a home pregnancy test that claims to accurately detect pregnancy 90% of the time. Based on this, how many would you expect to test positive with this home test?arrow_forwardWhat is the PMT?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_forward
- A local newspaper reports that the lower percentage of high school pass the math portion if the CAHSEE that the English portion. You are allowed to see the confidential records if 112 students, of who 63 passed the math portion and 81 passed the English. Is this enough evidence to support the newspaper's claim? (Use .01 as alpha)arrow_forwardSusan took two tests. The probability of her passing both tests is 0.6. The probability of her passing the first test is 0.8. What is the probability of her passing the second test given that she has passed the first test? 0.45 0.75 0.48 0.36arrow_forwardA certain virus affects 0.7% of the population. A test used to detect the virus in a person is positive 87% of the time if the person has the virus (true positive) and 14% of the time if the person does not have the virus (false positive). Fill out the remainder of the following table and use it to answer the two questions below based on a total sample of 100,000 people. Virus No Virus TotalPositive Test Negative Test Total 100,000a) Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest hundredth of a percent and do not include a percent sign. % b) Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest hundredth of a percent and do not include a percent sign. %arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill