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.

Question

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.

Quizplus · Accepted Answer

The Answer of 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.

A Maker of Toothpaste Is Interested in Testing Whether the Proportion