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,366Cubs 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." Of the132die-hard fans,93.2%reported that they had watched or listened to Cubs games when they were children. Among the234less loyal fans,70.1%said that they watched or listened as children. (LetD=p_die-hardp_{less loyal}.)

(a) Find the numbers of die-hard Cubs fans who watched or listened to games when they were children. Do the same for the less loyal fans. (Round your answers to the nearest whole number.)

Die hard fans=

less loyal fans=

(b) Use a one sided significance test to compare the die-hard fans with the less loyal fans with respect to their childhood experiences relative to the team. (Use your rounded values from part (a). Use= 0.01. Round yourz-value to two decimal places and yourP-value to four decimal places.)

z=

p-value=

Conclusion??

(c) Express the results with a 95% confidence interval for the difference in proportions. (Round your answers to three decimal places.) (_____,_____)