is estimated that about 5% of the professors at Metro State University use illegal drugs. Suppose random drug testing is instituted by state law. The drug test used has certain error rates: 6% of the drug users receive a (false) negative test result, and 4% of the non-drug users receive a (false) positive test result. If they test me next week and the test result comes back positive, how likely is it that I actually do use illegal drugs?

is estimated that about 5% of the professors at Metro State University use illegal drugs. Suppose random drug testing is instituted by state law. The drug test used has certain error rates: 6% of the drug users receive a (false) negative test result, and 4% of the non-drug users receive a (false) positive test result. If they test me next week and the test result comes back positive, how likely is it that I actually do use illegal drugs?

Name: . It is estimated that about 5% of the professors at Metro State Unive
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Description: . It is estimated that about 5% of the professors at Metro State University use illegaldrugs. Suppose random drug testing is instituted by state law. The drug test used hascertain error rates: 6% of the drug users receive a (false) negative test resu

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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I personally have used statistics in trying to challenge the reliability of drug testing results. Suppose the chance of a mistake in the taking and processing of a urine sample for a drug test is just 1 in 100. And your client has a "dirty" (i.e., positive) test result. Only a 1 in 100 chance that it could be wrong? Not necessarily. If the vast majority of all tests given-say 99 in 100-are truly clean, then you get one false dirty and one true dirty in every 100 tests, so that half of the dirty tests are false. Define the following events as: TD = TC = D = event that the person tested is actually dirty C = event that the person tested is actually clean (a) Using the information in the quote, find the values of each of the following. event that the test result is dirty event that the test result is clean (i) P(TD|D) (ii) P(TDIC) (iii) P(C) (iv) P(D) X X (b) Use the law of total probability to find P(TD). (c) Use Bayes' rule to evaluate P(C|TD). X
disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Now suppose you are an auditor for a very large corporation. The revenue report involves millions of numbers in a large computer file. Let us say you took a random sample of n = 223 numerical entries from the file and r = 48 of the entries had a first nonzero digit of 1. Let p represent the population proportion of all numbers in the corporate file that have a first nonzero digit of 1.(i) Test the claim that p is less than 0.301. Use ? = 0.05. (a) What is the level of significance?State the null and alternate hypotheses. H0: p < 0.301; H1: p = 0.301H0: p = 0.301; H1: p > 0.301 H0: p = 0.301; H1: p < 0.301H0: p = 0.301; H1: p ≠ 0.301 (b) What sampling distribution will you use? The standard normal, since np > 5 and nq > 5. The standard normal, since np < 5 and nq <…
If the power of an experiment is low then The experiment will likely be inconclusive. Any significant findings obtained are suspect. The results are skewed.
Annie is concerned over a report that "a woman over age 40 has a better chance of being killed by a terrorist than of getting married." A study found that the likelihood of marriage for a never-previously-wed, 40-year-old university-educated American woman was 3.1 %. To demonstrate that this percentage is too small, Annie uses her resources at the Baltimore Sun to conduct a simple random sample of 424 never-previously-wed, university-educated, American women who were single at the beginning of their 40s and who are now 45. Of these women, 19 report now being married. Does this evidence support Annie's claim, at the 0.01 level of significance, that the chances of getting married for this group is greater than 3.1 % ? Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.
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Here is the Statistics problem. Read this passage. What is the explanatory variable in this passage?
Annie is concerned over a report that "a woman over age 40 has a better chance of being killed by a terrorist than of getting married." A study found that the likelihood of marriage for a never-previously-wed, 40-year-old university-educated American woman was 2.4%. To demonstrate that this percentage is too small, Annie uses her resources at the Baltimore Sun to conduct a simple random sample of 440 never-previously-wed, university-educated, American women who were single at the beginning of their 40s and who are now 45. Of these women, 12 report now being married. Does this evidence support Annie’s claim, at the 0.02 level of significance, that the chances of getting married for this group is greater than 2.4%? Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places Step 3 of 3: Draw a conclusion and interpret the decision.
Use the following scenario to answer the next 6 questions: M&Ms are your favorite vending machine snack and you purchase them often. Lately, it seems like the bags have been having a disproportionate distribution of the colors. The company claims that 24% of the candies per bag should be blue. You decide to test this claim for yourself. You purchase a large bag and find that 38 of the 224 candies are blue. Before complaining to the company, you want to be fairly sure of your accusation, so you set a 1% significance level for your test. Do you have sufficient evidence that the color distribution is different than advertised? Based on the data, the value of the test statistic is:
Annie is concerned over a report that "a woman over age 40 has a better chance of being killed by a terrorist than of getting married." A study found that the likelihood of marriage for a never-previously-wed, 40-year-old university-educated American woman was 3.2%. To demonstrate that this percentage is too small, Annie uses her resources at the Baltimore Sun to conduct a simple random sample of 436 never-previously-wed, university-educated, American women who were single at the beginning of their 40s and who are now 45. Of these women, 20 report now being married. Does this evidence support Annie’s claim, at the 0.02 level of significance, that the chances of getting married for this group is greater than 3.2%? Step 1 of 3 : State the null and alternative hypotheses for the test. Circle the answer below. H0: p=0.032: Ha: p 0.032 A.<B.>C.≠ Step 2 of 3: Compute the value of the test statistic. Sep 3 of 3: Draw a conclusion and interpret the decision.