Chris has just received test results from a patient named Cardi who is infected with a mystery disease. The accuracy of the test is as follows: The probability the test will be positive if Cardi is infected is p, and the probability the test will be positive if Cardi is not infected is q. The proportion of the population that is infected is π. The test comes back positive. Chris has no information about the disease and related symptoms. Suppose Chris does not have a true gasp of the base rates. Chris thinks that the base rate is γπ (gamma*pi), with γ is less than or equal to π. This is to

Chris has just received test results from a patient named Cardi who is infected with a mystery disease. The accuracy of the test is as follows: The probability the test will be positive if Cardi is infected is p, and the probability the test will be positive if Cardi is not infected is q. The proportion of the population that is infected is π. The test comes back positive. Chris has no information about the disease and related symptoms. Suppose Chris does not have a true gasp of the base rates. Chris thinks that the base rate is γπ (gamma*pi), with γ is less than or equal to π. This is to

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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Scenario: 200 people were asked, “Who is your favorite superhero?” Below are the data. Test the null hypothesis that the population frequencies for each category are equal. α= .05. Iron Man Black Panther Wonder Woman Spiderman fo = 40 fo = 60 fo =55 fo = 45 fe = fe = fe = fe = What is the correct result based on the data?
Only about 17 of all people can wiggle their ears. Is this percent lower for millionaires? Of the 319 millionaires surveyed, 45 could wiggle their ears. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: py (please enter a decimal) %3D H: p # (Please enter a decimal) c. The test statistic t v (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 3 decimal places.) e. The p-value is s a f. Based on this, we should fail to reject g. Thus, the final conclusion is that... the null hypothesis. OThe data suggest the populaton proportion is significantly lower than 17% at a = 0.01, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is lower than 17%. O The data suggest the population proportion is not significantly lower than 17% at a = 0.01, so there is…
How would I answer this?
A coin is tossed 4 times and gives four heads in a row. You say “I guess that the fifth toss will result into a head with a probability of 1.”
In a deck of cards, the probability that a card less than a 4 is cut is 3/13. What is the probability of being able to cut the deck 10 times and select a card less than 45 times?. a. Describe two different methods to calculate the above situation (no need to do the calculations for both - see b.). b. Calculate the answer to the above problem.
The accompanying table shows the results from a test for a certain disease. Find the probability of selecting a subject with a negative test result, given that the subject has the disease. What would be an unfavorable consequence of this error? The individual actually O had the disease Yes No Positive 334 Negative 13 1176 EEE .E The probability is (Round to three decimal places as needed.) What would be an unfavorable consequence of this error? A. The test would be shown to be not effective. OB. The subject would experience needless stress and additional testing. Gradebo O C. The subject would not receive treatment and could spread the disease. Sco O D. The test would be shown to be not reliable. see scor
Please please solve these problems??
A different student studied a little and can make an educated guess on all 20 questions, improving his odds of guessing it correctly up to 0.50. What are the odds that this second student gets a failing grade? That is: he gets less than 12 questions correct out of the 20 questions?
According to a recent study, 3 in every 8 women has been a victim of domestic abuse. This probability was obtained from a survey of 1,000 adult women. Suppose we randomly sample 25 women and find that 7 have been abused. Complete parts a through c below. G a. What is the probability of observing 7 or more abused women in a sample of 25 if the proportion p of women who are victims of domestic abuse is really p= ㅎ? The probability of observing 7 or more abused women in a sample of 25 is (Round to four decimal places as needed.)
The probability that an adult male is over 6ft tall is 0.2. given that he is over 6ft tall, the probability that he weighs less than 150lbs is 0.2. Find the probability that a randomly chosen man is taller than 6ft and will weigh less than 150 lbs.
Can I have help on d and e?