Score: 0.33 of 1 pt 6 of 13 (13 complete) HW Score: 65.9%, 8.57 of 13 pts %) 4.2

Question

Score: 0.33 of 1 pt 6 of 13 (13 complete) HW Score: 65.9%, 8.57 of 13 pts %) 4.2.22 Question Help * Answers Quickly Do people of different age groups differ in their response to email messages? A survey reported that 72.9% of users over 70 years of age believe that email messages should be answered quickly, as compared to 50.6% 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 The table to the right summarizes the results. Complete parts (a) through (c) Total 13-50 506 494 1000 Age Over 70 729 271 1000 1235 765 2000 Yes 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? .506 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 .729 (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 given an age range is not the same as the probability that a respondent answers quickly B. 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 ) C. 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 D. Yes, because the probability that the respondent answers quickly is not the same as the probability that the respondent is over 70 years old

Explanation / Answer

a. Probability that the respondent between age 13 and 50 answers quickly

= 506/1000

= 0.506

b. Probability that the respondent with age over 70 answers quickly

= 729/1000

= 0.729

c. Are the events independent?

No, because the probability that the respondent answers quickly in an age range is not the same as the same as the probability that the respondent answers quickly.

This is given in option A.

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