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.

Understand the impact of service charges on currency exchanges.

Apply mathematical ratios and proportions in financial contexts.

Calculate the impact of inflation and the cost of living adjustments over time.

Understand the principles of investing and the calculation of gains or losses in a foreign currency.

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Definitions:

P(A|B)

The chance that event A will occur, assuming event B has occurred, indicative of a conditional probability.

P(B)

The probability of occurrence of event B in a statistical experiment.

P(A And B)

The likelihood that events A and B will happen simultaneously.

Independent Events

Two or more events are independent if the occurrence of one does not affect the probability of the other(s).