A total of 34,695 adults were asked whether they agreed with the following statement: I often feel

A total of 34,695 adults were asked whether they agreed with the following statement: €œI often feel that my values are threatened by Hollywood and the entertainment industry.€ Table 18 compares the adults€™ responses and their ages.

a. Find the probability that a person randomly selected from the 34,695 adults was between 30 and 49 years of age, inclusive, given the person agreed with the statement.
b. Find the probability that a person randomly selected from the 34,695 adults was over 64 years of age, given the person agreed with the statement.
c. By inspecting the results you found in parts (a) and (b), a student concludes that a surveyed adult between 30 and 49 years of age, inclusive, was more likely to agree with the statement than a surveyed adult over 64 years of age. Is the student correct? If yes, explain. If no, find two appropriate conditional probabilities and compare them to explain.

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Table 18 Values Threatened by Hollywood versus Age Ages (in years) 18-29 30-49 50-64 over 64 Total Agree 1400 4847 4823 3910 14,980 Disagree 2842 6976 5661 4236 19,715 Total 4242 11823 10,484 8146 34,695