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To predict how many visitors would like a mystery movie, we can calculate the proportion of visitors who like mystery movies based on the given data.
According to the survey data, there were 28 visitors who liked mystery movies out of a total of:
14 + 9 + 17 + 8 + 28 + 6 + 34 = 116 visitors
Therefore, the proportion of visitors who like mystery movies is:
28/116 ≈ 0.2414
To predict how many visitors would like a mystery movie out of 7,685 moviegoers, we would multiply the proportion of mystery moviegoers by the total number of moviegoers:
0.2414 * 7,685 ≈ 1,855
Therefore, we can predict that approximately 1,855 visitors out of 7,685 moviegoers would like mystery movies.