SOLUTION: Do people of different age groups differ in their response to email​ messages? A survey reported that75.7 ​% of users over 70 years of age believe that email messages should be

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Question 1172450: Do people of different age groups differ in their response to email​ messages? A survey reported that75.7 ​% of users over 70 years of age believe that email messages should be answered​ quickly, as compared to 53.8 ​% 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).
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
Answers_Quickly 13-50 70+ Total
Yes 538 757 1295
No 462 243 705
Total 1000 1000 2000

Answer by Boreal(15235) About Me  (Show Source):
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Answers_Quickly 13-50 70+ Total
Yes------------ 538 757 1295
No------------- 462 243 705
Total---------- 1000 1000 2000
It was given as 53.8%
If the question were, suppose you know that somebody answers quickly. What is the probability that they are between 13 and 50?That would be 538/1295.