Tuesday
July 22, 2014

Homework Help: math

Posted by tms on Sunday, May 19, 2013 at 3:17am.

In surveys about sensitive topics, respondents are sometimes given ways to “hide” their answers from the surveyor. In a survey of taxpayers, one of the questions is, “Did you cheat on your taxes?” To answer, the respondent is asked to toss a coin. If it lands heads, the respondent must answer “yes.” If it lands tails, the respondent must answer the question truthfully, either “yes” or “no” (the answer has to be the one that is true). Assume that all respondents follow this procedure, and that for 10% of the respondents the truthful answer is “yes.” Also assume that the result of a respondent’s coin toss is independent of whether or not the respondent cheated on his/her taxes.

One of the respondents is picked at random.
1)Given that the respondent cheated on his/her taxes, what is the chance that he/she answered “yes”?
2)Given that the respondent did not cheat on his/her taxes, what is the chance that he/she answered “yes”?
3)Given that the respondent answered “yes,” what is the chance that the respondent cheated on his/her taxes?

Answer this Question

First Name:
School Subject:
Answer:

Related Questions

mathematic - In surveys about sensitive topics, respondents are sometimes given ...
MATH - A pollster wants to minimize the effect the order of the questions has on...
Psychology - Survey results may be inaccurate due to: a participants not wanting...
Psychology - Survey results may be inaccurate due to: a participants not wanting...
Astronomy - Imagine that you are an astronomer, and you are planning to do a ...
Statistical Analysis - I have an assignment over surveys and I am having trouble...
Psychology - Survey results may be inaccurate due to: a. participants who do not...
Psych - Survey results may be inaccurate due to : A) participants who do not ...
math - I've been asked to practice writing statistical questions about different...
Business Research and writing - Write a short survey (8 to 10 questions) that is...

Search
Members