Suppose that based on symptoms a patient has, his doctor is 60% certain that the patient has a particular disease. If doctor's suspicions would be overwhelming, say at least 85%, then he would recommend a surgery. Under these circumstances, the doctor opts for quite an invasive and expensive procedure, which unfortunately is not 100% reliable. In particular, the test can show positive even if the patient does not have the disease (false positive), because of his diabetes. Chances of this is 30%. On the other hand, the test can show negative if the patient does have the disease (false negative) in 10% of all cases. Question is, in the event the test shows positive, how

Suppose that based on symptoms a patient has, his doctor is 60% certain that the patient has a particular disease. If doctor's suspicions would be overwhelming, say at least 85%, then he would recommend a surgery. Under these circumstances, the doctor opts for quite an invasive and expensive procedure, which unfortunately is not 100% reliable. In particular, the test can show positive even if the patient does not have the disease (false positive), because of his diabetes. Chances of this is 30%. On the other hand, the test can show negative if the patient does have the disease (false negative) in 10% of all cases. Question is, in the event the test shows positive, how

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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You will be conducting a telephone survey of university students who are 21 years of age or older. You have determined that a sample size of 250 will allow reasonable precision and confidence for your estimates of important population parameters. Let’s assume that 15% of the telephone numbers aren’t working, 2% of students you contact are ineligible because they have working telephone numbers but have left the school, about 20% of students will refuse to participate, and you will be unable to reach 30% of those selected for the sample. How many sampling elements should you include in the project?
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In a sample of 624 applicants to the Durmstrang Institute of Sorcery, 133 were accepted. Construct a 90% confidence interval for the true proportion of applicants to Durmstrang that are accepted. Does it appear that Durmstrang accepts 20% of their applicants?
A political candidate has asked you to conduct a poll to determine what percentage of people support her, assume p=.5.If the candidate only wants a 2% margin of error at a 90% confidence level, what size of sample is needed?
A private and a public university are located in the same city. For the private university, 1042 alumni were surveyed and 655 said that they attended at least one class reunion. For the public university, 804 out of 1317 sampled alumni claimed they have attended at least one class reunion. Is the difference in the sample proportions statistically significant? (Use α=0.05) a) Reject the null hypothesis which states there is no difference in the proportion of alumni that attended at least one class reunion in favor of the alternate which states there is a difference in the proportions. b) Fail to reject the null hypothesis. There is not enough evidence to conclude that there is a difference in the proportions. c) There is not enough information to make a conclusion.
A survey conducted on a certain website indicated that 44.7% of the people visiting this website consider the color red rather irritating and want the website to use it as little as possible. The survey had a margin of error of 4.8% with a 95% confidence level. What does this margin of error tell you about the percentage of people visiting this website who do not like the color red? We can be 95% confident that somewhere between ? % and ? % of the visitors of this website do not like the color red.
If an ANOVA has dfbetween = 3, then k = 3. True or False
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I think my numbers are right for the first two parts but can someone help me with part d please and just double check my numbers? Thank you in advance if you can!