The Pew Internet & American life project conducted a survey that included several questions about how Internet users feel about search engines and other websites collecting information about them and using this information either to shape search results or target advertising to them. In one question, participants were asked, "If a search engine kept track of what you search for, and then used that information to personalize your future search results, how would you feel about that?" Respondents could indicate either "Would not be okay with it because you feel it is an invasion of your privacy" or "Would be okay with it, even if it means they are gathering information about you." Joint probabilities of responses and age groups are summarized in the following table. Age Not Okay Okay 18-29 0.1485 0.0601 30-49 0.2286 0.0922 50+ 0.4024 0.0682 Round your answers to four decimal places. a. What is the probability a respondent will say she or he is not okay with this practice?   b. Given a respondent is  30-49 years old, what is the probability the respondent will say she or he is okay with this practice?   c. Given a respondent says she or he is not okay with the practice, what is the probability the respondent is 50+ years old?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.5: Interpreting Data
Problem 1C
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The Pew Internet & American life project conducted a survey that included several questions about how Internet users feel about search engines and other websites collecting information about them and using this information either to shape search results or target advertising to them. In one question, participants were asked, "If a search engine kept track of what you search for, and then used that information to personalize your future search results, how would you feel about that?" Respondents could indicate either "Would not be okay with it because you feel it is an invasion of your privacy" or "Would be okay with it, even if it means they are gathering information about you." Joint probabilities of responses and age groups are summarized in the following table.

Age Not Okay Okay
18-29 0.1485 0.0601
30-49 0.2286 0.0922
50+ 0.4024 0.0682

Round your answers to four decimal places.

a. What is the probability a respondent will say she or he is not okay with this practice?

 

b. Given a respondent is  30-49 years old, what is the probability the respondent will say she or he is okay with this practice?

 

c. Given a respondent says she or he is not okay with the practice, what is the probability the respondent is 50+ years old?

 

d. Is the attitude about this practice independent of the age of the respondent? Why or why not?

Given a respondent is 30-49 years old, the probability that a respondent is okay with the practice is  . The probability that a respondent is okay is  . Since the numbers - Select your answer -(do/do not) equal the events are said to be - Select your answer -(dependent/independent).

e. Do attitudes toward this practice differ for respondents who are 18-29 years old and respondents who are 50+ years old?

- Select your answer -(Yes/No), because the probability that a respondent is not okay with the practice given that he or she is 18-29 years old is _____  and the probability that a respondent is not okay with the practice given that he or she is 50+ years old is _____ .

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