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:

Insulin

A hormone produced by the pancreas that regulates blood sugar levels by facilitating the uptake of glucose into tissues.

Bloodstream

The flowing blood within the circulatory system of the body.

Hormones

Chemical substances produced in the body that regulate and control the activity of certain cells or organs, influencing growth, metabolism, and mood.

Functional Magnetic Resonance Imaging

An imaging technique used to observe brain activity by detecting changes associated with blood flow, enabling researchers to study the brain in action.