A sociologist interested in the relationship between social class and amount of reading asked a sample of 105 children from varying socioeconomic backgrounds about the number of books they had read outside of school during the last year. For the following data, compute a gamma coefficient to determine the degree of association between socioeconomic status (X) and number of books read (Y), and indicate whether the relationship is significant.

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Socioeconomic Status Lower Upper Number of Books Read Lower Middle Middle Upper None One More than one 15 12 4 12 6 10 9 10