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:

Growth Hormone

A hormone produced by the pituitary gland that stimulates growth, cell reproduction, and cell regeneration in humans and other animals.

Deep Sleep

A stage of sleep characterized by slow brain waves, known as delta waves, minimal body movement, and disconnection from the environment, typically considered restorative.

Paradoxical Sleep

Another term for REM (Rapid Eye Movement) sleep, characterized by active brain patterns, dream occurrence, and temporary muscle paralysis.

Very Relaxed Muscles

A state of low tension in muscle fibers, often achieved through relaxation techniques, leading to reduced physical stress and strain.