A veterinarian has invented an allergy test for cats. Sam the cat seems to be allergic to tina the dog. If 2% of cats are allergic to dogs and the vet's allergy test correctly indicates an allergy 98% of the time and only gives a false positive result 0.5% of the time, what is the probability sam is allergic to tina given the allergy test comes back positive?

A veterinarian has invented an allergy test for cats. Sam the cat seems to be allergic to tina the dog. If 2% of cats are allergic to dogs and the vet's allergy test correctly indicates an allergy 98% of the time and only gives a false positive result 0.5% of the time, what is the probability sam is allergic to tina given the allergy test comes back positive?

Name: A veterinarian has invented an allergy test for cats. Sam the cat seem
Uploaded: 2024-03-20T07:07:00.000Z
Channel: Bartleby
Description: A veterinarian has invented an allergy test for cats. Sam the cat seems to be allergic to tina the dog. If 2% of cats are allergic to dogs and the vet's allergy test correctly indicates an allergy 98% of the time and only gives a false positive resul

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...

See similar textbooks

Related questions

Q: At an inspection line, several motors are inspected. It is known that defects between motors are not…

A: Solution-: Given : λ=5 We find, (a) P[the first defective motor is the fifth motor that you…

Q: You are analysing a factory. Stage 3 of the manufacturing process has a 15% chance of finishing on…

Q: If the probability of having a female tortoise is 0.35, what is the probability of having four…

A: Given that, The probability of having a female tortoise is, p = 0.35 The no.of eggs in a nest is, n…

Q: My friend Mary lies 20% of the time. She calls me and says that it's currently raining in Amsterdam.…

A: Since Mary lying and its raining in Amsterdam are two independent events

Q: If a seed is planted, it has a 95% chance of growing into a healthy plant. If 9 seeds are planted,…

Q: If a seed is planted, it has a 75% chance of growing into a healthy plant. If 8 seeds are planted,…

A: p=0.75, n=8

Q: About 7% of employed adults in the United States have multiple jobs. A random sample a 71 employed…

A: The sample size is 347, and population proportion is 0.07. Checking conditions:…

Q: If a seed is planted, it has a 85% chance of growing into a healthy plant. If 7 seeds are planted,…

A: The random variable X is the number of seeds that don't grow The probability of the seed growing is…

Q: What is the probability that a randomly selected student from the course will fail? If a student…

A: Define the following events: A: students are light studiers B: students are moderate or heavy…

Q: A recent poll of 300 executives' exercise habits revealed that 95 run and 127 bike. 49 reported…

A: P(A or B) = P(A) + P(B) - P(A and B) Probability = favorable/total

Q: If the probability that an individual with a Bachelor Degree in Underwater Basket-weaving will be…

A: Given that the probability that an individual with a Bachelor Degree in Underwater Basket-weaving…

Q: The probability that a school-grade student would drink water, fruit juice, and soda is 0.5, 0.3,…

A: We can select 6 students who will drink water from 15 students in 15C6 ways. The probability for…

Q: Industrial accidents can be very costly to both workers and employers. Prior to a safety campaign at…

A: Obtain the probability of at most one accident occurs in the campaign. The probability of at…

Q: A student has a 30% chance of getting a particular professor for a class. What are the odds of…

A: From the provided information, There is 30% chance a student getting a particular professor for a…

Q: 10 years ago, high levels of lead in blood put 83% of children at risk. Now only 8% of children are…

A: Introduction: Denote p as the true population proportion of children who were at risk 10 years ago,…

Q: There is a 72% chance you will be able to get tickets to a concert to see your favorite band in the…

A: Given problem Given that There is a 72% chance you will be able to get tickets to a concert to…

Q: The national weather service states that 40% of hurricanes that make landfall on the east coast of…

A: we have to find probability that in a sample of 19 hurricanes that make landfall on the east coast…

Q: a new vaccine for tropical illnesses has the probability of negative side effects on 0.122% of…

Q: Last Fall Semester, 36% of freshmen who applied for football season tickets did not receive tickets…

A: Obtain the probability that more than 40% of those sampled did not receive tickets for all home…

Q: fa family now li wo years from now? A suburban area? A rural area? uppose that at present, 40% of…

A: .

Q: mcburger's drive thru has only one service window and serves an average of 2 customers every 5…

A: Exponential Distribution: A continuous random variable X is said to follow Exponential distribution…

Q: In 2021, 500 teachers in GCPS were surveyed. 230 teachers surveyed were Science teachers, 200…

A: Given: N=500 N(S)= 230 N(M)=200 Half of the teachers teaching Math also teach a science subject.…

Q: If a seed is planted, it has a 75% chance of growing into a healthy plant. If 8 seeds are planted,…

Q: Suppose a county's recent health report gives a pet allergy prevalence of Pet allergy Test result…

A: Given in the diagram- P(pet allergy)=0.23P(no pet allergy)=0.77 When test is conducted then the test…

Q: Children have a 1 in 2500 chance of being born with Cystic fibrosis and children have a 1 in 10000…

A: P(cystic fibrosis) = 1/2500 P(phocomelia) = 1/10000 Formula : P(either A or B) = P(A∪B) = P(A)+P(B)…

Q: If a seed is planted, it has a 60% chance of growing into a healthy plant. If 8 seeds are planted,…

A: We have given that Number of trials n=8 Success of probability p =0.40 Failure of probability q=…

Concept explainers

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

Topic Video

Question

Video Video

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Proportions$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

Brian is undecided as to whether to take a French course or a Russian course. He estimates that his probability of receiving an A grade would be 1/3 in a French course and 2/5 in a Russian course. If Brain decides to base his decision on the flip of a fair coin, what is the probability that he gets an A in Russian?
Breast cancer occurs in 2% of all American women. Mammograms used to detect breast cancer typically test positive 80% of the time for women that actually have breast cancer and test negative 85% of the time for women that actually don't have breast cancer. If a woman tests positive, what is the probability that she has breast cancer.
It has been found from experience that there is an average of four faults per 50 metres of cloth produced by a linen factory. If we randomly select 50 metres of cloth, what is the probability that there will be more than two faults? Interpret your answer.
Suppose a county's recent health report gives a pet allergy prevalence of 0.23 for kids. There is a new at-home test kit for pet allergies on the market that provides families with a convenient way to test if children have a pet Pet allergy status Test result Positive allergy. The probability that the test gives a positive result when a child 0.83 Pet really does not have a pet allergy is 0.07. The probability that the test gives allergy a negative result when a child really does have a pet allergy is 0.17. The tree 0.23 0.17 diagram shows the possible outcomes with the associated probabilities. Negative What is the probability of an incorrect test result? Give your answer as a decimal precise to two decimal places. Positive 0.07 0.77 No pet allergy P(incorrect test result) = 0.93 Negative
If a seed is planted, it has a 95% chance of growing into a healthy plant.If 11 seeds are planted, what is the probability that exactly 3 DON'T grow?Can you help me?
in a box of pens and pencils, the probability of randomly choosing a sharpened pencil is 0.54 and pens is .39, what is the probability of choosing an unsharpened pencil or a pen
In a family of five children, what is the chance that there are three boys and two girls? = 5/16
The chance that doctor A will diagnose a disease a disease X correctly is 60%. The chances that a patient will die by his treatment after correct diagnosis is 40% and the chance of death by wrong diagnosis is 70%. A patient of doctor A, who had disease X, died. What is the chance that his disease was diagnosed correctly ?
According to a study conducted by a statistical organization the proportion of Americans were satisfied with the way things are going in her lives .82 supposed random sample of 110 Americans is obtained. The probability that 77 or fewer Americans in the sample are satisfied is?
There was a baseball game between Oscar and Gabe. The chance of Oscar winning is 3/5 (60%). The chance of Gabe winning is 2/5 (40%). This game wasn't a one game competition. It's the best of 5 series. This means the first person to win 3 games is the overall champion. What's the probability (% is best) that Oscar is the champion? Don't answer this question as Oscar with a 60% chance and Gabe as a 40% chance. Also, don’t use the equation for finding multiple events for probability.
On the first day of music class, students submitted a survey. One survey question asked students to report which music genre they prefer. Another question asked students how frequently they sing in the shower. The probability that a student prefers metal is 0.7, the probability that a student sings in the shower 1-2 times a week is 0.4 and the probability that a student prefers metal and sings in the shower 1-2 times a week is 0.3. What is the probability that a randomly chosen student prefers metal or sings in the shower 1-2 times a week?
If a seed is planted, it has a 95% chance of growing into a healthy plant. If 9 seeds are planted, what is the probability that exactly 2 don't grow?