A survey of 293 American adults studied the gender of Americans and how likely t

Question

A survey of 293 American adults studied the gender of Americans and how likely they were to agree with the statement “I have a good relationship with my family.” Here are the results of the survey:

a. What proportion of women answered “Strongly Agree”? ________________

b. What proportion of those polled were women who answered “Agree”? _________________

c. What is the probability that a randomly selected person who strongly disagreed was a man? ___________

d. What is the probability that a randomly selected person was a female who strongly agreed? _________

e. What is the probability that a randomly selected person would not answer “Strongly agree”? _________

Explanation / Answer

a) The proportion of women answered "Strongly Agree" = 71/293 = 0.242

b) The proportion of women who answered "Agree" = 60/293 = 0.205

c) P(strongly disagreed | man) = P(strongly disagreed and man)/P( man) = 23/138 = 0.167

d) P(female | strongly agreed) = P(female and strongly agreed)/P(strongly agreed) = 71/(54 + 71) = 71/125 = 0.568

e) P(would not answer "strongly Agree") = (293 - (54 + 71))/293 = 168/293 = 0573

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