Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. basic math
  3. please answer parts a, c, and d. thank you! 2.2 fo

PLEASE ANSWER PARTS A, C, AND D. Thank you! 2.2 For diagnostic testing, let X =...

50.1K

Verified Solution

Question

Basic Math

PLEASE ANSWER PARTS A, C, AND D. Thank you!

2.2 For diagnostic testing, let X = true status (1 = disease, 2= no disease) and Y = diagnosis (1 = positive, 2 = negative). Let?i = P (Y = 1|X = i), i = 1, 2.

a. Explain why sensitivity = ?1 and specificity = 1 ? ?2.

c. For mammograms for detecting breast cancer, suppose ? = 0.01,sensitivity = 0.86, and specificity = 0.88. Given a positive testresult, find the probability that the woman truly has breastcancer.

d. To better understand the answer in (c), find the jointprobabilities for the 2 × 2 cross-classification of X and Y .Discuss their relative sizes in the two cells that refer to apositive test result.

Answer & Explanation Solved by verified expert
3.5 Ratings (415 Votes)
ASensitivity is the probability that the diagnostic test ispositive given that a subject has the disease that is PY 1 X 1 so its probability is given by 1Specificity is the    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Biology
1.2K views

For each of the E. coli strains below, indicate whether β-galactosidase and permease expression are inducible, constitutive,...

Civil Engineering
1.2K views

Write a paraphrase of this: Properties of Waste: The characteristics of waste must be known in order...

Psychology
1.2K views

In December 1999, IBM-GSA was one of three tenderers for the IT outsourcing contract for the...

Physics
1.2K views

A truck of mass M and a bike of mass m approach a stop sign...

Physics
1.2K views

In a metre bridge circuit as shown when one more resistance of 100 Q is...

Geometry
1.2K views

Find the sum of the first five terms of the geometric sequence 1 6 36...

Basic Math
1.2K views

Lincoln High wants to estimate the number of students who drive to school Answer the...

Accounting
1.2K views

Unrealized holding gains and losses for trading securities are: Multiple Choice Reported as...

Accounting
1.2K views

14. Robert transferred his rent house to his best friend, The house had cost $200,000...

Accounting
1.2K views

E11-15 Recording note payable transactions Learning Objective 1 Aug 1, 2018 Interest Expense $840 Consider...

Accounting
1.2K views

61. LO.8 Under Rowena's will, Mandy (Rowena's sister) inherits her property. One year later, Mandy...

Accounting
1.2K views

4-ilana is short of money. so he asks his boss for an advance of $25....