A Maker of Toothpaste Is Interested in Testing Whether the Proportion

question 59

Essay

A maker of toothpaste is interested in testing whether the proportion of adults (over age 18)who use its toothpaste and have no cavities within a six-month period is any different from the proportion of children (18 and under)who use the toothpaste and have no cavities within a six-month period.To test this,it has selected a sample of adults and a sample of children randomly from the population of those customers who use their toothpaste.The following results were observed.
Adults Children
Sample size 100 200
Number with 0 cavities 83 165
Based on these sample data and using a significance level of 0.05,what conclusion should be reached? Use the p-value approach to conduct the test.

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Definitions:

Hypoglycemia

A condition characterized by abnormally low blood sugar levels, often resulting in symptoms such as dizziness and sweating.

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A type of cancer treatment using one or more anti-cancer drugs to kill rapidly growing cells in the body.

Biopsy

A medical procedure that involves the extraction of sample tissues or cells from the body for examination to diagnose disease.

Arteriosclerosis

The thickening, hardening, and loss of elasticity of the walls of arteries which can restrict blood flow.