In: Statistics and Probability
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, 365 Cubs fans among patrons of a restaurant located in Wrigleyville 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 92 of the 137 die-hard fans attended Cubs games at least once a month, but only 43 of the 228 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.)
1) Z =
2) P-Value =
3) Analyze these data using a 95% confidence interval for the difference in proportions. (Round your answers to three decimal places.)
= ( , )
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