If you go through the profiles of 200 people in a population where you expect 25% of the population to be dateable, how many times can you expect to swipe right? Hint: multiply the probability by the number of people to find out the expected number of swipes. If instead the population had only 5% dateable individuals, how many times can you expect to swipe right

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.3: Binomial Probability
Problem 26E
icon
Related questions
Question

Dating apps allow us to look a person’s profile (or picture) and decide whether we’d like to date them (swipe right) or not (swipe left). Let us treat this like a hypothesis test, with the null hypothesis being that you don’t want to date them. Then the swipe right decision is a positive result (rejecting the null) and the swipe left decision is a negative result (not rejecting the null).

Suppose you think you’re pretty good at deciding who you want to date, and you think that your sensitivity is 80% and your specificity is 66%.

  1. If you go through the profiles of 200 people in a population where you expect 25% of the population to be dateable, how many times can you expect to swipe right? Hint: multiply the probability by the number of people to find out the expected number of swipes.

  2. If instead the population had only 5% dateable individuals, how many times can you expect to swipe right?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning