Visitors to your website are asked to answer a single “yes or no” survey question before they get access to the content on the page. Among all of the visitors to this page, there are two categories: Random Clicker (RC) and Truthful Clicker (TC). There are two possible answers to the survey: yes and no. Random clickers would click either one with equal probability. You are also given the information that the overall fraction of random clickers is 0.3. After a trial period, you get the following survey results: 65% said Yes and 35% said No. What is your estimate for P(yes | TC), the probability that someone answers “yes” to the survey question, given that they were a truthful clicker? Hint: use the rule of total probability

Visitors to your website are asked to answer a single “yes or no” survey question before they get access to the content on the page. Among all of the visitors to this page, there are two categories: Random Clicker (RC) and Truthful Clicker (TC). There are two possible answers to the survey: yes and no. Random clickers would click either one with equal probability. You are also given the information that the overall fraction of random clickers is 0.3. After a trial period, you get the following survey results: 65% said Yes and 35% said No. What is your estimate for P(yes | TC), the probability that someone answers “yes” to the survey question, given that they were a truthful clicker? Hint: use the rule of total probability

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

The Bureau of Labor Statistics reports that the official unemployment rate for Black people was 10.4% and 4.7% for White people in February 2015. Select all correct answers for this question. O The samples of white and black people are independent. The explanatory variable is the unemployment rate. The response variable is the unemployment rate. The response variable is race.
Indiana has a population of about 7 million people and Ohio about 12 million. Is it possible for there to be a poll where over 50% of Hoosiers say "yes", over 50% of Ohioans say "yes", but over 50% of all residents of both states say "no"? If no, explain why not. If yes, give an example of how that could happen.
A group of 499 students were surveyed about the courses they were taking at their college with the following results:228 students said they were taking Math.213 students said they were taking English.237 students said they were taking History.61 students said they were taking Math and English.84 students said they were taking Math and History.74 students said they were taking English and History.17 students said they were taking all three courses.How many students took Math, English, or History ?
would this be a one tail or two tail test?
Does the source of medical information affect people’s confidence that it is true? To answer this question, you presented medical information to participants regarding the importance of vaccinations. Participants were randomly assigned to read medical information from a doctor, a politician, or a celebrity. Then, they indicated how confident they were that the information is true.
There are 20 questions on a multiple choice exam, each with four possible answers. Which of the following has a greater chance of occuring for a student guessing on all twenty questions on this test?
One of the questions in a study of marital satisfaction of dual-career couples was to rate the statement, "I'm pleased with the way we divide the responsibilities for childcare." The ratings went from 1 (strongly agree) to 5 (strongly disagree). The table below contains ten of the paired responses for wives and husbands. Conduct a hypothesis test at the 5% level to see if wife's satisfaction levels are lower than their husband's satisfaction level (meaning that, within the partnership, the husband is happier than the wife). Wife's score 3 2 3 3 4 2 1 1 2 4 Husband's score 2 2 1 3 2 1 1 1 2 4 NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part (a) State the null hypothesis. H0: ?d = 0 H0: ?d > 0 H0: ?d < 0 H0: ?d ≠ 0 Part (b) State the alternative hypothesis. Ha: ?d > 0 Ha:…
There are 160 questions on a test, and they are all multiple choice questions with four possible answers. For each question, only one answer is correct. Find the mean number of correct answers for someone who make random guesses for all of the questions.
A study found that 13% of Americans have seen or sensed the presence of an angel. A contingent doubts that the percent is really that high. It conducts its own survey. Out of 76 Americans surveyed, only two had seen or sensed the presence of an angel. As a result of the contingent's survey, would you agree with the study? What is the p-value?
Perform a hypothesis proportion test for the number of iPhone users on Verizon and AT&T for the following data. Over a 2 day period, recording the number of phone customers for AT&T and Verizon, there were a total of 47 total Verizon customers. 29 of those 47 opened an apple iPhone. For AT&T, there were a total of 41 customers. 22 of those 41 owned an apple iPhone.