A problem with polling is whether or not people are willing to answer honestly. If aquestion might be viewed as shameful or embarrassing (about politics, sexual activity,etc.), they may be reluctant to answer honestly.A potential solution to this is the following: let's suppose that 'YES’ is the embarrassingor socially shameful answer. Give the people you are polling the following instructions:flip a coin privately, and if it comes up heads, you must answer honestly. However, if itcomes up tails, you must answer 'YES’ regardless of what the truth is. This gives peopleлplausible deniability about why they answered yes, if pressed. Again, let p,be thefraction of people who said 'YES'. Let p be the probability that a randomly selectedperson says YES’. Let q be the probability that a person’s true answer is 'YES’. Noteлagain, we have that the expected value of p,, is p, but we are actually interested inNmeasuring q. What is the relationship between q and p?

Given that - A problem with polling is whether or not people are willing to answer honestly. If a…

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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...

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A problem with polling is whether or not people are willing to answer honestly. If a question might be viewed as shameful or embarrassing (about politics, sexual activity, etc.), they may be reluctant to answer honestly. A potential solution to this is the following: let's suppose that 'YES’ is the embarrassing or socially shameful answer. Give the people you are polling the following instructions: flip a coin privately, and if it comes up heads, you must answer honestly. However, if it comes up tails, you must answer 'YES’ regardless of what the truth is. This gives people л plausible deniability about why they answered yes, if pressed. Again, let p, be the fraction of people who said 'YES'. Let p be the probability that a randomly selected person says YES’. Let q be the probability that a person’s true answer is 'YES’. Note л again, we have that the expected value of p,, is p, but we are actually interested in N measuring q.
A poll was taken of 100 students at a commuter campus to find out how they got to campus. The results were as follows: 32 said they drove alone. 27 rode in a carpool. 28 rode public transportation. 6 used both carpools and public transportation. 8 used both a carpool and sometimes their own cars. 9 used buses as well as their own cars. 4 used all three methods. How many used none of the above-mentioned means of transportation? students
In politics, marketing, etc. we often want to estimate a percentage or proportion p. One calculation in statistical polling is the margin of error - the largest (reasonble) error that the poll could have. For example, a poll result of 72% with a margin of error of 4% indicates that p is most likely to be between 68% and 76% (72% minus 4% to 72% plus 4%). In a (made-up) poll, the proportion of people who like dark chocolate more than milk chocolate was 37% with a margin of error of 2.5%. Describe the conclusion about p using an absolute value inequality. . That lets you type in a vertical bar | to represent absolute values. Also, when you type in < and then =, the symbolic entry option will automatically convert that to ≤ . In the same way, if you type in > and then =, the symbolic entry option will automatically convert that to ≥. Be sure to use decimal numbers in your answer (such as using 0.40 for 40%).
3. Javiers biology teacher claims that 75% of people can roll their tongue . According to javier’s study , is this claim plausible? Explain
What should the parents conclude? Choose the best answer.
Suppose you were going to conduct a survey of visitors to your campus. You want the survey to be as representative as possible. How would you select the people to survey? Why would that be your best method?
Read the following information carefully then answer all the questions that follow. A marketing company does a fast-food survey and asks 500 people what they order on the side with their takeaway meals. They found that 141 people choose ice-cream, while 127 people choose burger. Finally, 149 people choose cola. They also found that 48 people choose ice-cream and cola, 27 people choose cola and burger, 32 people choose burger and ice-cream, and 10 people choose 3 of them; Burger, ice- cream and cola. a) Draw a Venn diagram and enter all the given information. b) Using the Venn Diagram and determine the number of people who order only Burger. c) What is the probability that a person orders ice-cream but not cola? d) What is the probability that a person will order no ice-cream?
If 61% of Americans believe most school textbooks favor political correctness over accuracy, how many Americans in a group of 50 would you expect to believe this?
A survey of 125 freshmen business students at a local university produced the results listed below. How many students took only music? 30 took English;33 took math;32 took music;14 took English but not math;9 took math and music;12 took English and music;3 took all three
Readers of the magazine Popular Science (August 1990) were asked to phone in (on a 900 number) their responses to the following question: “Should the United States build more fossil-fuel generating plants or the new so-called safe nuclear generators to meet the energy crisis of the 90s?” Of the total call-ins, 86% chose the nuclear option. What do you think about the way the poll was conducted? What do you think about the way the question was worded? Do you think the results are a good estimate of the prevailing mood of the country?
After the premiere of the new comedy Bumblebee, moviegoers were asked in a quick poll whether they liked the movie. Out of 100 adults, 65 said they liked the movie, whereas out of 20 teenagers, 14 said they liked the movie. Fill in the blanks below to make the most reasonable statement possible. At the movie premiere, (Choose one) ▼moviegoers liked the movie more. That is because only % disliked the movie, whereas % of the (Choose one) v moviegoers disliked the movie.
A poll was taken of 100 students at a commuter campus to find out how they got to campus. The results were as follows: 32 said they drove alone. 33 rode in a carpool. 38 rode public transportation. 9 used both carpools and public transportation. 9 used both a carpool and sometimes their own cars. 10 used buses as well as their own cars. 5 used all three methods. How many used none of the above-mentioned means of transportation? students

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