Concept explainers

Answer to Problem 88E
Probability that a person gets positive result on both EIA tests has HIV antibodies is approx. 0.3931.
Explanation of Solution
Given information:
Probability for Antibodies present,
Probability for Antibodies present Positive EIA test,
Probability for Antibodies present Negative EIA test,
Probability for Antibodies absent Positive EIA test,
Probability for Antibodies absent Negative EIA test,
Calculations:
According to the multiplication rule for independent
Conditional probability definition:
Let
B: Positive result on both EIA tests
P: Positive result on one EIA test
A: Antibodies present
From the previous problem,
We have
Probability for positive EIA test,
And
Probability for Positive EIA test and Antibodies present,
Now,
Apply multiplication rule for independent events, to get theprobability for positive result on both EIA tests,
Also,
Apply multiplication rule for independent events, to get the probability for antibodies present and positive result on both EIA tests,
Using conditional probability definition:
Thus,
The conditional probability for a person getting positive result on both EIA tests has HIV antibodies is approx. 0.3931.
Chapter 5 Solutions
PRACTICE OF STATISTICS F/AP EXAM
Additional Math Textbook Solutions
Calculus: Early Transcendentals (2nd Edition)
Basic Business Statistics, Student Value Edition
Elementary Statistics: Picturing the World (7th Edition)
Algebra and Trigonometry (6th Edition)
Thinking Mathematically (6th Edition)
- Find the critical value for a left-tailed test using the F distribution with a 0.025, degrees of freedom in the numerator=12, and degrees of freedom in the denominator = 50. A portion of the table of critical values of the F-distribution is provided. Click the icon to view the partial table of critical values of the F-distribution. What is the critical value? (Round to two decimal places as needed.)arrow_forwardA retail store manager claims that the average daily sales of the store are $1,500. You aim to test whether the actual average daily sales differ significantly from this claimed value. You can provide your answer by inserting a text box and the answer must include: Null hypothesis, Alternative hypothesis, Show answer (output table/summary table), and Conclusion based on the P value. Showing the calculation is a must. If calculation is missing,so please provide a step by step on the answers Numerical answers in the yellow cellsarrow_forwardShow all workarrow_forward
- Show all workarrow_forwardplease find the answers for the yellows boxes using the information and the picture belowarrow_forwardA marketing agency wants to determine whether different advertising platforms generate significantly different levels of customer engagement. The agency measures the average number of daily clicks on ads for three platforms: Social Media, Search Engines, and Email Campaigns. The agency collects data on daily clicks for each platform over a 10-day period and wants to test whether there is a statistically significant difference in the mean number of daily clicks among these platforms. Conduct ANOVA test. You can provide your answer by inserting a text box and the answer must include: also please provide a step by on getting the answers in excel Null hypothesis, Alternative hypothesis, Show answer (output table/summary table), and Conclusion based on the P value.arrow_forward
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman





