Do people of different age group differ in their response to email messages? A survey reported that 70.4% of users over 70 years of age believe that email messages should be answered quickly as compared to 54.8%% 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 summarize the result

.Answers_Quickly  13- 50 70+ Total 
     Yes 548 704 1252 
     No 452  296 748 
     Total  1000  1000  2000 

If one of the respondent is chosen, find the probability that,

a. The respondent answers to email messages quickly.

b. The respondent does not answer to email messages quickly.

c. The respondent is in the 13-50 years of age.

d. The respondent is in the 70+ years of age.

e. The respondent answers to email messages quickly and is in the 13-50 years of age.

f. The respondent answers to email messages quickly and is in the 70+ years of age.

g. The respondent does not answer to email messages quickly and is in the 13-50 years of age.

h. The respondent does not answer to email messages quickly and is in the 70+ years of age.

i. The respondent answers to email messages quickly or is in the 13-50 years of age.

j. The respondent answers to email messages quickly or is in the 70+ years of age.

k. The respondent does not answer to email messages quickly or is in the 13-50 years of age.

l. The respondent does not answer to email messages quickly or is in the 70+ years of age.

m. The respondent answers to email messages quickly given that he/she is in the 13-50 years of age.

n. The respondent answers to email messages quickly given that he/she is in the 70+ years of age.

o. The respondent does not answer to email messages quickly given that he/she is in the 13-50 years of age.

p. The respondent does not answer to email messages quickly given that he/she is in the 70+ years of age.

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1 Answer

Best answer

a. 2000 respondents, 1252 answer quickly: 1252/2000=62.6%.

b. 37.4% (100-(a)).

c and d. 50% because there are 1000 respondents in each group: 1000/2000=1/2=50%.

e. 548/2000=27.4%.

f. 704/2000=35.2%.

g. 452/2000=22.6%.

h. 296/2000=14.8%.

i. (a)+(c)-(e)=(1252+1000-548)/2000=85.2%.

j. (a)+(d)-(f)=(1252+1000-704)/2000=77.4%.

k. (b)+(c)-(g)=(748+1000-452)/2000=64.8%.

l. (b)+(d)-(h)=(748+1000-296)/2000=72.6%.

m. 548/1000=54.8%.

n. 704/1000=70.6%.

o. 452/1000=45.2%.

p. 296/1000=29.6%.

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