In Canada, about 63.55% of women over 40 will develop breast cancer in any given year. Acommon screening test for cancer is the mammogram, but it is not perfect. In about 50.97%of patients with breast cancer, the test gives a false negative: it indicates a woman does nothave breast cancer when she does have breast cancer. Similarly, the test gives a falsepositive in 10.06% of patients who do not have breast cancer: it indicates these patientshave breast cancer when they actually do not. If a randomly selected woman over 40 istested for breast cancer using a mammogram and the test is positive that is, the testsuggests the woman has cancer - what is the probability she has breast cancer? Round youranswer to five decimal places.

According to the given information,Probability of women over 40 will develop breast cancer,…

Answered: In Canada, about 63.55% of women over…

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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One cable company claims that it has excellent customer service. In fact, the company advertises that a technician will arrive within 60 minutes after a service call is placed. One frustrated customer believes this is not accurate, claiming that it takes over 60 minutes for the cable technician to arrive. The customer asks a simple random sample of 25 other cable customers how long it has taken for the cable technician to arrive when they have called for one. The sample mean for this group is 63.4 minutes with a standard deviation of 15.1 minutes. Assume that the population distribution is approximately normal. Test the customer's claim at the 0.025 level of significance. Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Но : и 3 60 60 11: "H E Tables Кeyрad Answer Keyboard Shortcuts O >
Your teacher claims to produce random numbers from 1 to 5 (inclusive) on her calculator, but you’ve been keeping track. In the past 80 rolls, the number “five” has come up only 8 times. You suspect that the calculator is producing fewer fives than it should. Let p = actual long-run proportion of five’s produced by the calculator. The hypotheses for testing the teacher’s claim are:
Another pilot study During routine screening, a doctornotices that 22% of her adult patients show higher thannormal levels of glucose in their blood—a possiblewarning signal for diabetes. Hearing this, some medicalresearchers decide to conduct a large-scale study, hoping to estimate the proportion to within 4% with 98% confi-dence. How many randomly selected adults must they test?
A study is to be made to estimate the proportion of residents of a certain city and its suburbs who favor the construction of a nuclear power plant near the city. How large a sample is needed if one wishes to be at least 95% confident that the estimate is within 0.08 of the true proportion of residents who favor the construction of the nuclear power plant?
One cable company claims that it has excellent customer service. In fact, the company advertises that a technician will arrive within 55 minutes after a service call is placed. One frustrated customer believes this is not accurate, claiming that it takes over 55 minutes for the cable technician to arrive. The customer asks a simple random sample of 4 other cable customers how long it has taken for the cable technician to arrive when they have called for one. The sample mean for this group is 62.1 minutes with a standard deviation of 8.3 minutes. Assume that the population distribution is approximately normal. Test the customer’s claim at the 0.05 level of significance. Step 2 of 3 : Compute the value of the test statistic. Round your answer to three decimal places.
An industrial psychologist feels that a big factor in job turnover among assembly-line workers is the individual employees' self-esteem. He thinks that workers who change jobs often (population A) have, on the average, lower self-esteem, as measured by standardized test, than workers who do not (population B). To determine whether he can support his belief with statistical analysis, he draws a simple random sample of employees from each population and gives a test measuring self-esteem. The results are as follows. At 0.05 level of significance and assuming equal variances. Mean Standard Deviation Sample size A 52.3 9.23 10 69.47 11.78 17 Provide the tabular and computed value of the test statistic. O a. 1.703; 3.05 O b. 2.06; 3.94 O . 1.708; 4.01 O d. 2.052; 3.46
To collect data about the amount of time students spend studying for exams, which of the following methods should a teacher use to lead to a sample that is the most representative of the students in the school? Survey all the students who are in their final year of high school. Survey all students who achieved over 85% on their report card last semester. Survey all the students who play football. Survey all the students in the classes that he or she teaches. Survey 20 randomly selected students from each grade.
You conducted a study to assess the effect of smoking on systolic blood pressure. The results showed that there was a significant association between the two variables, with an odds ratio of 1.5. Explain this finding to someone who has no background in epidemiologic research.
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According to the American Lung association, lung cancer account for 28% of all cancer deaths in the US. A new type of screening for lung cancer, computed tomography (CT), has been developed. Medical researchers believe CT scans are scans are more sensitive than regular X-rays in pinpointing small tumors. The Cancer Center at the University of South Florida is currently conducting a clinical trial of 50,000 smokers nationwide to compare the effectiveness of CT scans with X-ray for detecting lung cancer (Today’s Tomorrows, Fall 2002). Each participating smoker is randomly assigned to one of the two screening methods, CT or chest X-ray, and his or her progress is tracked over time. The age at which the scanning method first detects a tumor is the variable of interest. A. Identify the data collection method used by the cancer researchers. B. dentify experimental units of the study. C. Identify the type of the variable measured. D. Identify the population and sample.
A researcher takes a sample of 50 individuals and administers a background check to identify the number of prior arrests for each person. For whatever reason, one person is removed from the analysis and another random person is selected to replace that person. Having no additional information, what is your best guess of the number of prior arrests experienced by the replacement person? Why?
The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,476 kilowatt hours (kWh) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 153 of their customers and calculates that these customers used an average of 10,767 kWh of electricity last year. Assuming that the population standard deviation is 2478 kWh, is there sufficient evidence to support the power company's claim at the 0.05 level of significance? Step 3 of 3: Draw a conclusion and interpret the decision.

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