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.

---

Definitions:

Working Capital

The difference between a company's current assets and its current liabilities, indicating the liquidity of the business.

Financial Data

Quantitative information about financial conditions, performance, and transactions of a business, individual, or entity.

Current Ratio

A liquidity ratio that measures a company's ability to pay short-term obligations with its current assets.

Financial Data

Information about financial transactions, including income, expenses, assets, and liabilities, used for analysis and decision-making.