Approximately 1% of the US population currently have active coronavirus. According to Johns Hopkins, a particular type of COVID test (RT-PCR), has a false negative rate of 20%. That is, if a person has COVID, and takes this test, there is a 20% chance of testing negative. The false positive rate is about 1% (more recent COVID tests have a false positive rates around .4%). That means that about 1% of people who don’t have COVID will nonetheless test positive. Consider the following two-way table for 1000 randomly selected people who were tested for COVID using (RT-PCR). Positive test Negative test Total Has COVID 8 2 10 No COVID 10 980 990 Total 18 982 1000 What is the probability of choosing someone who tested positive? What is the probability of choosing someone who has COVID? What is the probability of choosing someone who Doesn’t have COVID andtested positive? What is the probability of choosing someone with COVID given that they testedpositive?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
- Approximately 1% of the US population currently have active coronavirus. According to Johns Hopkins, a particular type of COVID test (RT-PCR), has a false negative rate of 20%. That is, if a person has COVID, and takes this test, there is a 20% chance of testing negative. The false positive rate is about 1% (more recent COVID tests have a false positive rates around .4%). That means that about 1% of people who don’t have COVID will nonetheless test positive. Consider the following two-way table for 1000 randomly selected people who were tested for COVID using (RT-PCR).
|
Positive test |
Negative test |
Total |
Has COVID |
8 |
2 |
10 |
No COVID |
10 |
980 |
990 |
Total |
18 |
982 |
1000 |
- What is the
probability of choosing someone who tested positive? - What is the probability of choosing someone who has COVID?
- What is the probability of choosing someone who Doesn’t have COVID andtested positive?
- What is the probability of choosing someone with COVID given that they testedpositive?
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