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 researcher wants to test whether sending juvenile offenders to boot camp will increase their respect for the law. He gives each new juvenile that enters boot camp a test that measures respect for the law when they arrive and then again on the day they have finished the program. What test should he run? Is it one-tailed or two-tailed test?arrow_forwardPlease give an example of real-life Type I and Type II errors. How might the terms “miss” and “false alarm” be applied to diagnostic medical tests? Is one type of error more dangerous? Explain.arrow_forwardtest the hypothesis by using the given information.arrow_forward
- what is question e asking??arrow_forwardScientists conducting a study on global climate change want to determine if there has been an increase in the number of days per year that the temperature in El Paso rises above 100 degrees Fahrenheit. In 1981, there were 21 days where the temperature rose above 100 degrees Fahrenheit. The scientists want to know whether the average number of days per year that the temperature rises above 100 degrees Fahrenheit has increased. Which hypothesis test would be most appropriate for this study? O One mean (sigma known) - one sample z O One mean (sigma unknown) - one sample t O Mean of differences, using dependent samples (paired data) O Difference of two means (independent samples) O Several means (ANOVA) O One proportion O Difference of two proportions O Chi-Squared test for independencearrow_forwardType I and Type I l Errors. In Exercises 29–32, provide statements that identify the type I error and the type II error that correspond to the given claim. (Although conclusions are usually expressed in verbal form, the answers here can be expressed with statements that include symbolic expressions such as p = 0.1. The proportion of people who require no vision correction is less than 0.25.arrow_forward
- Which of these are categorical and which are quantitative?arrow_forwardIndicate whether each statement is true or false, and justify your answer.The approval of Vioxx, a painkiller that was taken off the market in 2004 because it was implicated in several cardiac arrests, is an example of Type I error by the Food and Drug Administration.arrow_forwarddoes the result indicate whether the treatment is effective?arrow_forward
- which of the followings is the interpretation of the test ?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_forwardState the conclusion. Be sure to address the original claim. A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO, p, is less than1 in every ten thousand. Assuming that a hypothesis test of the claim has been conducted and that theconclusion is failure to reject the null hypothesis, state the conclusion in nontechnical terms.arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill