FASTPlaqueTB is a diagnostic test for the presence of tuberculosis bacilli. In a community, for those subjects known to have the tuberculosis bacilli, the FASTPlaqueTB test was positive 70% of the time. For those subjects known not to have the tuberculosis bacilli, the FASTPlaqueTB test was negative 99% of the time. Statistics indicate that about 14.2% of the people in the community have the tuberculosis bacilli. Define all the events, draw a tree diagram, and answer the following two questions. (a). What is the probability that a randomly selected person from the community will have a positive FASTPlaqueTB test result? (b). What is the probability that a person from the community who tests positive does not have tuberculosis bacilli?

FASTPlaqueTB is a diagnostic test for the presence of tuberculosis bacilli. In a community, for those subjects known to have the tuberculosis bacilli, the FASTPlaqueTB test was positive 70% of the time. For those subjects known not to have the tuberculosis bacilli, the FASTPlaqueTB test was negative 99% of the time. Statistics indicate that about 14.2% of the people in the community have the tuberculosis bacilli. Define all the events, draw a tree diagram, and answer the following two questions. (a). What is the probability that a randomly selected person from the community will have a positive FASTPlaqueTB test result? (b). What is the probability that a person from the community who tests positive does not have tuberculosis bacilli?

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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Postpartum depression and anxiety (PPD), is a common medical condition affecting mothers and their families after the birth of a baby. The CDC estimated that 18% of women who have recently given birth suffer from PPD. However, this research only reflected self-reported cases. Therefore, one group dedicated to helping women and their families with PPD believes that the true percentage of women who suffer from PPD is much higher. The group conducts a simple random sample of 112 women who had given birth in the last year and discovers that 26 of them report having PPD. Based on this evidence, can the group claim that the true percentage of women who have PPD is greater than 18%? Use a 0.05 level of significance. Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.
Postpartum depression and anxiety (PPD), is a common medical condition affecting mothers and their families after the birth of a baby. The CDC estimated that 18 % of women who have recently given birth suffer from PPD. However, this research only reflected self-reported cases. Therefore, one group dedicated to helping women and their families with PPD believes that the true percentage of women who suffer from PPD is much higher. The group conducts a simple random sample of 119 women who had given birth in the last year and discovers that 28 of them report having PPD. Based on this evidence, can the group claim that the true percentage of women who have PPD is greater than 18 % ? Use a 0.10 level of significance. Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Ho :p = 0.18 Ha:P 0.18 Answer E Tables E Keypad Keyboard Shortcuts O > Prev Nex © 2021 Hawkes Learning JIS A
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Teenagers who do not sleep well or long enough may have a higher risk of raised blood pressure, which could lead to cardiovascular disease later in life. The odds of raised blood pressure increase 3.5 times for those who have trouble falling asleep at night or who wake up too early and 2.5 times for those with sleeping periods of fewer than 6.5 hours. A health psychologist is interested in studying teenagers who have diastolic blood pressure scores in the top 20%. Diastolic blood pressure scores for teenagers follow a normal distribution with μ = 72 and σ = 10. Use the Distributions tool to help answer the questions that follow. The minimum z-score necessary to be in the top 20% of the diastolic blood pressure distribution is z =0.842 . Use this z-score to determine X, the corresponding diastolic blood pressure score. X = 80.42 This score, X, is the 80th percentile of diastolic blood pressure scores among teenagers. The percentile rank of this score is 80%…
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Postpartum depression and anxiety (PPD), is a common medical condition affecting mothers and their families after the birth of a baby. The CDC estimated that 18% of women who have recently given birth suffer from PPD. However, this research only reflected self-reported cases. Therefore, one group dedicated to helping women and their families with PPD believes that the true percentage of women who suffer from PPD is much higher. The group conducts a simple random sample of 112 women who had given birth in the last year and discovers that 26 of them report having PPD. Based on this evidence, can the group claim that the true percentage of women who have PPD is greater than 18%? Use a 0.05 level of significance. Step 3 of 3 : Draw a conclusion and interpret the decision. 1. We reject the null hypothesis and conclude that there is sufficient evidence at a 0.05 level of significance that the true percentage of women who have PPD is greater than 18%. 2. We fail to reject the…
Acne is a common skin disease that affects most adolescents and can continue into adulthood. A study compared the effectiveness of three acne treatments and a placebo, all in gel form, applied twice daily for 12 weeks. The study's 517 teenage volunteers were randomly assigned to one of the four treatments. Success was assessed as clear or almost clear skin at the end of the 12 week period. The results of the study can be seen in the table below. Using the appropriate statistical test, determine if there is significant evidence that the four treatments perform differently. If so, how do they compare.
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