A random selection of 969 married adults were asked about their level of happiness. Table 21 compares their responses and their genders.

a. Find the probability that a person randomly selected from the 969 married adults is fairly happy, given the person is a woman.
b. Find the probability that a person randomly selected from the 969 married adults is fairly happy, given the person is a man.
c. Compare the results you found in parts (a) and (b). What does your comparison mean in this situation?
d. A student says married women in the study are more likely to be fairly happy than married men in the study because more married women (247) were fairly happy than married men (243). What would you tell the student?

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Table 21 Level of Happiness versus Gender Female Male Total Very Happy Fairly Happy Not too Happy Total 500 469 969 215 183 398 247 243 490 38 43 81