Is there a generation gap in music? A study reported that 25% of 16 to 29 year olds, 21% of 30 to 49 year olds, and 31% of 50 to 64 year olds often listened to country music. (Data extracted from A. Tugend, "Bridging the Workplace Generation Gap: It Starts with a Text," The New York Times, November 7, 2009, p. B5.) Suppose that the study was based on a sample of 200 respondents in each group.
a. Is there evidence of a significant difference among the age groups with respect to the proportion who often listened to country music? (Use α = 0.05.)
b. Determine the p-value in (a) and interpret its meaning.
c. If appropriate, use the Marascuilo procedure and α = 0.05. to determine which age groups are different.