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.

• 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:

CESA

Coverdell Education Savings Account; a tax-advantaged investment account in the U.S. designed to encourage savings for future education expenses.

AGI

Short for Adjusted Gross Income, which is an individual's total gross income minus specific deductions, used in the U.S. tax system to determine taxable income.

Exclusion Ratio

The portion of an annuity payment that is not subject to income tax, representing a return of investment in the annuity.

Annuity Payment

Regular payments received from an annuity investment over a specified period.