A survey was conducted 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." Frequencies of responses by age group are summarized in the following table. Age Not Okay Okay 18-29 0.1486 0.0603 0.2274 0.0906 30-49 50+ 0.4009 0.0722 (a) What is the probability a survey respondent will say they are not okay with this practice? . (b) Given a respondent is 30-49 years old, what is the probability the respondent will say they are okay with this practice? (Round your answer to four decimal places.) (c) Given a respondent says they are not okay with this practice, what is the probability the respondent is 50+ years old? (Round your answer to four decimal places.) (d) Is the attitude about this practice independent of the age of the respondent? Why or why not? O Yes, because P(okay.1 30-49)=P(30-49 | okay). O Yes, because P(okay n 18-29) 0. . O No, because P(okay | 30-49) P(okay). O No, because these events aren't mutually exclusive. (e) Do attitudes toward this practice for respondents who are 18-29 years old and respondents who are 50+ years old differ?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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A survey was conducted 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." Frequencies of responses by age group are summarized in the following table.
Age Not Okay
18-29 0.1486 0.0603
0.2274 0.0906
0.4009
30-49
50+
Okay
0.0722
(a) What is the probability a survey respondent will say they are not okay with this practice?
(b) Given a respondent is 30-49 years old, what is the probability the respondent will say they are okay with this practice? (Round your answer to four decimal places.)
(c) Given a respondent says they are not okay with this practice, what is the probability the respondent is 50+ years old? (Round your answer to four decimal places.)
.
(d) Is the attitude about this practice independent of the age of the respondent? Why or why not?
O Yes, because P(okay.l 30-49) P(30-49 | okay).
O Yes, because P(okay n 18-29) = 0.
O No, because P(okay | 30-49) # P(okay).
O No, because these events aren't mutually exclusive.
YOUR TEACHER
(e) Do attitudes toward this practice for respondents who are 18-29 years old and respondents who are 50+ years old differ?
The attitudes -Select--. Compared to respondents in the 18-29 age category, respondents in the 50+ age category are ---Select--- to say this practice is not okay.
Transcribed Image Text:A survey was conducted 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." Frequencies of responses by age group are summarized in the following table. Age Not Okay 18-29 0.1486 0.0603 0.2274 0.0906 0.4009 30-49 50+ Okay 0.0722 (a) What is the probability a survey respondent will say they are not okay with this practice? (b) Given a respondent is 30-49 years old, what is the probability the respondent will say they are okay with this practice? (Round your answer to four decimal places.) (c) Given a respondent says they are not okay with this practice, what is the probability the respondent is 50+ years old? (Round your answer to four decimal places.) . (d) Is the attitude about this practice independent of the age of the respondent? Why or why not? O Yes, because P(okay.l 30-49) P(30-49 | okay). O Yes, because P(okay n 18-29) = 0. O No, because P(okay | 30-49) # P(okay). O No, because these events aren't mutually exclusive. YOUR TEACHER (e) Do attitudes toward this practice for respondents who are 18-29 years old and respondents who are 50+ years old differ? The attitudes -Select--. Compared to respondents in the 18-29 age category, respondents in the 50+ age category are ---Select--- to say this practice is not okay.
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