Question

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, 374 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." Of the 132 die-hard fans, 93.9%
reported that they had watched or listened to Cubs games when they
were children. Among the 242 less loyal fans, 67.8% said that they
watched or listened as children. (Let *D* =
*p*_{die-hard} − *p*_{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 *α* = 0.01. Round your *z*-value to two
decimal places and your *P*-value to four decimal
places.)

Z = _______

P-Value = _______

Conclusion

Fail to reject the null hypothesis, there is not significant evidence that a higher proportion of die hard Cubs fans watched or listened to Cubs games as children.

Reject the null hypothesis, there is significant evidence that a higher proportion of die hard Cubs fans watched or listened to Cubs games as children.

Reject the null hypothesis, there is not significant evidence that a higher proportion of die hard Cubs fans watched or listened to Cubs games as children.

Fail to reject the null hypothesis, there is significant evidence that a higher proportion of die hard Cubs fans watched or listened to Cubs games as children.

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

( _______, _______ )

Answer #1

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, 390 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...

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, 366 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...

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, 395 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...

A college instructor claims that the proportion of students who
will fail the final exam is less than 10%.
To test this claim, a random sample of student results on the final
exam is monitored.
Assume that the test statistic for this hypothesis test is
−2.13.
Assume the critical value for this hypothesis test is
−1.645.
Come to a decision for the hypothesis test and interpret
your results with respect to the original claim.
Select the correct answer below:
a)...

A study of iron deficiency among infants compared samples of
infants following different feeding regimens. One group contained
breast-fed infants, while the infants in another group were fed a
standard baby formula without any iron supplements. Here are
summary results on blood hemoglobin levels at 12 months of age.
Group n x s Breast-fed 22 13.1 1.7 Formula 20 12.5 1.8
(a) Is there significant evidence that the mean hemoglobin level
is higher among breast-fed babies? State H0 and Ha....

In a survey of families in which both parents work, one of the
questions asked was, "Have you refused a job, promotion, or
transfer because it would mean less time with your family?" A total
of 200 men and 200 women were asked this question. "Yes" was the
response given by 26% of the men and 22% of the women. Based on
this survey, can we conclude that there is a difference in the
proportion of men and women responding...

USA Today reported that about 47% of the general
consumer population in the United States is loyal to the automobile
manufacturer of their choice. Suppose Chevrolet did a study of a
random sample of 1004 Chevrolet owners and found that 482 said they
would buy another Chevrolet. Does this indicate that the population
proportion of consumers loyal to Chevrolet is more than 47%? Use
α = 0.01.
(a) What is the level of significance?
State the null and alternate hypotheses....

USA Today reported that about 47% of the general
consumer population in the United States is loyal to the automobile
manufacturer of their choice. Suppose Chevrolet did a study of a
random sample of 1001 Chevrolet owners and found that 483 said they
would buy another Chevrolet. Does this indicate that the population
proportion of consumers loyal to Chevrolet is more than 47%? Use
α = 0.01.
(a) What is the level of significance?
State the null and alternate hypotheses....

Two randomly selected groups of citizens were exposed to
different media campaigns that dealt with the image of a political
candidate. One week later, the citizen groups were surveyed to see
whether they would vote for the candidate. The results were as
follows. Is there sufficient evidence to show a difference in the
effectiveness of the two image campaigns at the 0.05 level of
significance? (Use Conservative - Moderate.)
Exposed to Conservative Image Exposed to Moderate
Image
Number in...

USA Today reported that about 47% of the general
consumer population in the United States is loyal to the automobile
manufacturer of their choice. Suppose Chevrolet did a study of a
random sample of 1003 Chevrolet owners and found that 481 said they
would buy another Chevrolet. Does this indicate that the population
proportion of consumers loyal to Chevrolet is more than 47%? Use
α = 0.01.
(a) What is the level of significance?
State the null and alternate hypotheses....

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