A Supermarket Chain Has Its Own House Brand of Ice

question 145

Short Answer

A supermarket chain has its own house brand of ice cream. The general manager claims that her ice cream is better than the ice cream sold by a well-known ice cream parlor chain. To test the claim 40 individuals are randomly selected to participate in the following experiment. Each respondent is given the two brands of ice cream to taste (without any identification) and asked to judge which one is better. Suppose that 25 people judge the ice cream parlor brand better, four say that the brands taste the same, and the rest claim that the supermarket brand is better. Can we conclude at the 1% significance level that the general managers' claim is false?
Test statistic:
z-statistic = ______________
Rejection region:
Reject if the z-statistic ______________.
Conclusion: ______________
We ______________ conclude at the 1% significance level that the general managers' claim is false.
What is the p-value for the above test?
______________

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Definitions:

High Values

Principles or standards considered to be of great importance or virtue, guiding moral judgment and behavior.

Delegating Decision-Making

The transfer of authority and responsibility for making decisions from one person or group to another, often seen as a key component of effective leadership.

Untrained Workforce

A group of employees who have not received formal instruction or skills development related to their job functions.

Permissiveness

A parenting or leadership style characterized by the allowance of freedom of behavior and self-expression, often with minimal control or restrictions.