A Maker of Toothpaste Is Interested in Testing Whether the Proportion

question 14

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 than 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:

Significant Points

Key facts or pieces of information that are of great importance or consequence in a given context.

Market Segments

The categorization of potential buyers into groups based on shared characteristics or behaviors, useful in targeted marketing strategies.

Higher Price

Selling products or services at a price point above the average market price or the initial offering price.

R&D-Manufacturing

The connection between research and development (R&D) activities and manufacturing processes, focusing on turning innovative ideas into tangible products efficiently.