Question

A sample of 680 adults in the United States were asked the following question from the General Social Survey:  “Do you sometimes drink more than you think you should?” The table below shows their responses.  

Sex	Yes	No	Total
Men	151	177	328
Women	92	260	352
Total	243	437	680

1. What is the percent probability that a randomly selected woman thinks she drank more than she should?
   1. 13.5%
   2. 26.1%
   3. 35.7%
   4. 37.9%

Answer 1

Solution:

Probability that a randomly selected woman thinks she drank more than she should

$=P(Yes|Woman)$

P(Woman n Yes P(Woman)

$=\frac{92/680}{352/680}$

$=\frac{92}{352}$

$=0.261$

$=26.1\%$

Hence the correct option is (B) 26.1%.

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Thank You.