21. The table below summarizes results from a study of people who refused to ans

Question

21. The table below summarizes results from a study of people who refused to answer survey questions. Use the table to answer the following questions. Be very careful to read the question carefully to determine whether ofnot there is overlap. Age 10031 70+13 59 1 aas adS 18-21 22-29 252 30-39 40-49 50-59 60 and over Responded 7 Refused 242 35 133 28 135 199 f one of the subjects is randomly selected, what is the probability that a randomly selected person is between 22 and 29 years or refused to answer? The probability that a randomly selected person is between 22 and 29 years or refused to answer is not round until the final answer. Then round to three decimal places as needed.) (Do If one of the subjects is randomly selected, what is the probability that the selected person was between 16 and 21 years or refused to answer? The probability that the selected person was between 18 and 21 yeare or efused to answer is (Do not round until the final answer. Then round to three decimal places as needed.)

Explanation / Answer

Follwing table shows the row total and column total:

Out of 1225, 274 subjects are between 22 and 29 years so

P(22-29) = 274 /1225

Out of 1225, 194 subjects are refused so

P(refused) = 194 /1225

Out of 1225, 22 subjects are between 22-29 and refused so

P(22-29 and refused) = 22 /1225

So by addition rule we have

P(22-29 or refused)= P(22-29)+P(refused)-P(22-29 and refused) = (274/1225) + (194/1225) - (22/1225) = 446/1225 = 0.364

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Out of 1225, 274 subjects are between 18 and 21 years so

P(18-21) = 83 /1225

Out of 1225, 194 subjects are refused so

P(refused) = 194 /1225

Out of 1225, 13 subjects are between 18-21 and refused so

P(18-21 and refused) = 13 /1225

So by addition rule we have

P(18-21 or refused)= P(18-21)+P(refused)-P(18-21 and refused) = (83/1225) + (194/1225) - (13/1225) = 264/1225 = 0.216

Age 18-21 22-29 30-39 40-49 50-59 60 and over Total Responded 70 252 242 133 135 199 1031 Refused 13 22 35 28 37 59 194 Total 83 274 277 161 172 258 1225

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