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Answers Quickly Do people of different age groups differ in their response to em

ID: 3326385 • Letter: A

Question

Answers Quickly Do people of different age groups differ in their response to email messages? A survey reported that 70.5% of users over 70 years of age believe that email messages should be Age answered quickly, as compared to 53.5% of users 13 to 50 years old. Suppose that the survey was based on 1,000 users over 70 years of age and 1,000 users 13 to 50 years old. es The table to the right summarizes the results. Complete parts (a) through (c). Total 13-50 535 465 1000 Over 70 705 295 1000 1240 760 2000 Total a. Suppose you know that the respondent is between 13 and 50 years old. What is the probability that he or she answers quickly? The probability that he or she answers quickly is (Simplify your answer.) b. Suppose you know that the respondent is over 70 years old. What is the probability that he or she answers quickly? The probability that he or she answers quickly is (Simplify your answer.) c. Are the two events, answers quickly and age of respondents, independent? Explain O A. No, because the probability that the respondent answers quickly is not the same as the probability that the respondent is over 70 years old O B. Yes, because the probability that the respondent answers quickly is not the same as the probability that the respondent is over 70 years old ° C. No, because the probability that the respondent answers quickly given an age range is not the same as the probability that a respondent answers quickly. D. Yes, because the probability that the respondent answers quickly given an age range is not the same as the probability that a respondent answers quickly. Click to select your answer(s). Bu s Statistics Plus MyStatLab with Pearson eText--Access Card (6th Edition), Chapter 10, Question 32P

Explanation / Answer

a) P( Answesrs quickly/Age is 13-15 years old) = 535/1000 = 0.535

b) P( Answesrs quickly/Age is over 70 old) = 705/1000 = 0.705

c) Option C is Correct

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