From the following table representing achievement of 173 television viewers and 183 nonviewers,
find (a) the percent of nonviewers who are high achievers, (b) the percent of
viewers who are high achievers, (c) the proportion of nonviewers who are high achievers,
and (d) the proportion of viewers who are high achievers.
Achievement Nonviewers Viewers
High achievers 93 46
Low achievers 90 127
Total 183 172
What would be an ideal response?
a. The percent of nonviewers who are high achievers is determined by dividing the
number of high achieving nonviewers by the total number of nonviewers and
multiplying the result by 100 in order to transform it into a percentage:
93 / 183 0.508
0.508 * 100 50.8%
= =
b. The percent of viewers who are high achievers is determined by dividing the
number of high achieving viewers by the total number of viewers and multiplying
the result by 100 in order to transform it into a percentage:
46 / 172 0.266
0.266 * 100 26.6%
= =
c. The proportion of nonviewers who are high achievers is determined by dividing
the number of high achieving nonviewers by the total number of nonviewers:
9 3 / 1 8 3 0 .5 0 8
P 0 .5 1
= =
d. The proportion of viewers who are high achievers is determined by dividing the
number of high achieving viewers by the total number of viewers:
46 / 172 0.267
P 0.27
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