A total of 34,695 adults were asked whether they agreed with the following statement: Evolution is the

A total of 34,695 adults were asked whether they agreed with the following statement: €œEvolution is the best explanation for the origins of human life on earth.€ Table 19 compares the adults€™ responses and their ages.

a. Find the probability that a person randomly selected from the 34,695 adults was between 18 and 29 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 between 30 and 49 years of age, inclusive, given the person agreed with the statement.
c. By inspecting the results of 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 between 18 and 29 years of age, inclusive. Is the student correct? If yes, explain. If no, find two appropriate conditional probabilities and compare them to explain.

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Table 19 Evolution Is the Best Explanation of Human Life on Earth versus Age Ages (in years) 18-29 30-49 50-64 over 64 Total Agree 2333 5793 4927 325816311 Disagree 1909 630 5557 4888 18384 Total 442 11.823 10,484 8146 34,695