Last active
August 19, 2020 17:41
-
-
Save Planeshifter/51db8a4831038ffbb23d9fbeadc5543d to your computer and use it in GitHub Desktop.
Use HTML lists <ol> (ordered list), <ul> (unordered list), and <li> (list item)
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
<ol> | |
<li>The output below pertains to the participants in the Fast Food experiment. It reports summary statistics for the variable “dieting” by the respondent’s self-identified race. Variable “dieting” is coded as 1 if the respondent reported he/she was dieting, and 0 if the respondent reported no. From this table, calculate the probability that a randomly chosen participant in this experiment is dieting. Show the basis for your calculation and perform this calculation with relevant probabilities calculated to the thousandth (e.g, 0.342, 0.096, 0.004). (Note: You’ll observe that the top row constituing 22 respondents reports no race. Do not include this group in your calculation.) | |
<Image src="https://isle.heinz.cmu.edu/95-796_Module3c_Q1.jpg" alt="Homework 2 Question 1 Image" /> | |
</li> | |
<li>This problem concerns testing for COVID19 antibodies. | |
Let: | |
$C^{+}$ denote actually having COVID19 antibodies (i.e. “ground truth”) <br /> | |
$\tilde{C}^{+}$ denote not actually having COVID19 antibodies (i.e. “ground truth”)<br /> | |
$T^{+}$ denote testing + for COVID19 antibodies | |
For the Rapid COVID19 test: | |
$$ P(T^{+} | C^{+}) = 0.96 $$ | |
$$ P(T^{+} | \tilde{C}^{+}) = 0.06 $$ | |
<ul> | |
<li>Suppose $P(C^{+})$ = 0.01, what is $P(C^{+} |T^{+})$?</li> | |
<li>Suppose instead that$P(C^{+})$ = 0.1, what then is $P(C^{+} |T^{+})$?</li> | |
<li>Why does $P(C^{+} |T^{+})$? change so much between a) and b)?</li> | |
</ul> | |
</li> | |
</ol> |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment