Use the Traditional Method to Test the Given Hypothesis

question 73

Essay

Use the traditional method to test the given hypothesis. Assume that the samples are independent and that they have been randomly selected
-In a random sample of 500 people aged 20-24, 22% were smokers. In a random sample of 450 people aged 25-29, 14% were smokers. Test the claim that the proportion of smokers in the two age groups is the same. Use a significance level of 0.01.

---

Definitions:

P-Value

The probability of obtaining test results at least as extreme as the ones observed during the test, assuming the null hypothesis is true.

Capital Punishment

A legal penalty in some jurisdictions where the state executes a person as a punishment for a crime.

Uniformly Distributed

A distribution where all outcomes are equally likely to occur, each observation within a certain range has the same probability.

Null Hypothesis

The assumption in statistical testing that there is no significant difference or effect and that any observed difference is due to chance.