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:

Aegyptopithecus

Aegyptopithecus is an extinct genus of early primates that lived approximately 30 million years ago, considered significant for understanding the evolution of modern primates, including humans.

Dryopithecines

A group of extinct apes known from fossil records, believed to be ancestral to modern great apes and humans, dating to the Miocene epoch.

Hominoids

A group within the order of primates that includes apes and humans, characterized by greater mobility of the shoulder joint and absence of a tail.

Genus Pongo

The taxonomic group that includes the great apes known as orangutans, native to Indonesia and Malaysia.