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A Candidate in a Local Election Thinks Seniors Are by Far

question 67

Essay

A candidate in a local election thinks seniors are by far her best supporters.She believes that the difference in the support between seniors and non-seniors is more than 15%.In order to verify this belief,the team samples 100 seniors and 150 non-seniors to find what proportion of each group supports the candidate.It is found that 50 of the seniors support her and 36 of the non-seniors support her.
A)Specify the hypotheses to determine if the difference in the support between seniors and non-seniors is more than 15%.
B)Calculate the value of the test statistic and the p-value.
C)Make a conclusion at the 5% significance level.


Definitions:

Horizontal Communication

The exchange of information between individuals or units of an organization at the same hierarchical level, aimed at coordination and collaboration.

Organizational Structure

The system used to define a hierarchy within an organization, specifying roles, responsibilities, and the flow of information.

External Uncertainty

The unpredictability in an organization's external environment that can affect its operations and performance, including economic, social, and political factors.

Internal Uncertainty

Uncertainty that originates within an organization due to factors like unclear objectives, lack of managerial direction, or unpredictable environments.

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