A market research study is being conducted to determine if a product modificatio
ID: 3382130 • Letter: A
Question
A market research study is being conducted to determine if a product modification will be well received by the public. A total of 1,000 consumers are questioned regarding this product.
The table below provides information regarding this sample.
Positive
Reaction
Neutral
Reaction
Negative
Reaction
Male
240
60
100
Female
260
220
120
a) What is the probability that a randomly selected male would find this change unfavorable (negative)?
b) What is the probability that a randomly selected person would be a female who had a positive reaction?
c) If it is known that a person had a negative reaction to the study, what is the probability that the person is male?
Positive
Reaction
Neutral
Reaction
Negative
Reaction
Male
240
60
100
Female
260
220
120
Explanation / Answer
a)The probability that a randomly selected male would find this change unfavorable (negative) is: 100/(240+60+100+260+220+120)=0.1
b)The probability that a randomly selected person would be a female who had a positive reaction: 260/1000=0.26
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