The probability would be:
[Number of Females who answered "A great deal"] / [Total number of respondents who answered "A great deal"]
= 200 / 323
≈ 0.62
So the answer is (b) 62%.
A recent social survey asked whether respondents believed that Antarctic penguins were threatened. The responses are summarized in the table below.
Answer Male Female Total
A great deal 123 200 323
Some 150 164 314
Not at all 28 16 44
Total 301 380 681
A respondent is randomly selected among those who believe that penguins are threatened "a great deal." Approximately what is the probability that this respondent will be female?
a
29%
b
62%
c
53%
d
38%
3 answers
are you sure
Yes, I am sure. We are asked to find the probability that a randomly selected respondent who believes that penguins are threatened "a great deal" is a female. This means we need to consider only the total number of respondents who answered "A great deal," which is 323.
Out of these 323 respondents, 200 are females.
Therefore, the probability of selecting a female respondent who answered "A great deal" is:
200/323 = 0.6198 ≈ 0.62 (rounded to two decimal places)
So, the option (b) 62% is the correct answer.
Out of these 323 respondents, 200 are females.
Therefore, the probability of selecting a female respondent who answered "A great deal" is:
200/323 = 0.6198 ≈ 0.62 (rounded to two decimal places)
So, the option (b) 62% is the correct answer.