Brand loyalty and the Chicago Cubs. According to literature on brand loyalty, consumers who are loyal to a brand are likely to consistently select the same product. This type of consistency could come from a positive childhood association. To examine brand loyalty among fans of the Chicago Cubs, 371 Cubs fans among patrons of a restaurant located in Lakeview were surveyed prior to a game at Wrigley Field, the Cubs' home field.31 The respondents were classified as "die-hard fans" or "less loyal fans." Of the 134 die-hard fans, 90.3% reported that they had watched or listened to Cubs games when they were children. Among the 237 less loyal fans, 67.9% said that they had watched or listened as children.
(a) Find the number of die-hard Cubs fans who watched or listened to games when they were children. Do the same for the less loyal fans.
(b) Use a significance test to compare the die-hard fans with the less loyal fans with respect to their childhood experiences relative to the team.
(c) Express the results with a 95% confidence interval for the difference in proportions.