A Maker of Toothpaste Is Interested in Testing Whether the Proportion

question 54

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. 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:

Correlation

A gauge that determines the extent of simultaneous variations between two or more variables.

Lurking Variable

A variable that is not directly measured but affects the variables of interest in a study, potentially confounding the results.

Heights

Refers to the measurement of vertical length, either of an individual or object, typically measured from base to top.

Weights

Numeric values assigned to data points or features in statistical and machine learning models, usually to indicate their importance.