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, 368 Cubs fans among patrons of a restaurant located in Wrigley Ville were surveyed prior to a game at Wrigley Field, the Cubs' home field. The respondents were classified as "die-hard fans" or "less loyal fans." The study found that 62.3% of the 138 die-hard fans attended Cubs games at least once a month, but only 20.4% of the 230 less loyal fans attended this often. Analyze these data using a significance test for the difference in proportions. (Let D = pdie-hard − pless loyal. Use α = 0.05. Round your value for z to two decimal places. Round your P-value to four decimal places.)
z = __________
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