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A Maker of Toothpaste Is Interested in Testing Whether the Proportion

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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:

Temperament

The innate aspect of an individual's personality, including mood, disposition, and adaptability.

Cognition

The mental action or process of acquiring knowledge and understanding through thought, experience, and the senses.

Continuum-Based Approach

A method that acknowledges variables or phenomena as occurring on a continuous scale, rather than being divided into distinct categories, enabling more nuanced analysis and understanding.

Personality Disorders

Types of mental disorders characterized by enduring maladaptive patterns of behavior, cognition, and inner experience.

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