A Candidate in a Local Election Thinks Seniors Are by Far

question 106

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 nonseniors is more than 15%. 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.

• 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.

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Definitions:

Negligently

Acting with a lack of proper care or attention, resulting in harm or injury to another person or property.

Relative Capital Contributions

The contributions, often in the form of money or assets, that partners make relative to one another in a partnership or investment setting.

Dissolved

The process of legally disbanding a corporation or partnership, effectively ending its existence.

Errand Runner

A person or service engaged to perform small tasks or deliveries.