Answered: Dating apps allow us to look a person's…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Transcribed Image Text: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%. 4. 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. 5. If instead the population had only 5% dateable individuals, how many times can you expect to swipe right? 6. Suppose you swipe right on a person from the 25% dateable population and go on a date. What's the probability that it's a good one (this is a person you actually want to date)? 7. Suppose you swipe right on a person from the 5% dateable population and go on a date. What's the probability that it's a good one (this is a person you actually want to date)?

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