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:

Profit and Loss Ratio

Measures the relationship between the profits and losses of a business, indicating financial performance.

Safe Cash Payments

Methods of cash transactions that minimize the risk of theft, loss, or accounting errors.

Noncash Assets

Assets that are not in the form of cash or cannot be easily converted into cash, such as property, plant, and equipment.

Liquidation Process

The procedure of closing a business and distributing its assets to claimants, often preceding dissolution.