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Chapter 4: Problem 9

A situation is described for a statistical test. In each case, define the relevant parameter(s) and state the null and alternative hypotheses. Testing to see if there is evidence that the proportion of people who smoke is greater for males than for females.

Short Answer

Expert verified
The relevant parameters are the proportion of males \(p_m\) who smoke and the proportion of females \(p_f\) who smoke. The Null Hypothesis (\(H_0\)) states that there is no significant difference between the proportion of males and females who smoke, thus \(H_0 : p_m = p_f\). The Alternative Hypothesis (\(H_A\)) posits that the proportion of males who smoke is greater than the proportion of females, thus \(H_A : p_m > p_f\).

Step by step solution

01

- Identify parameters

The parameters referred in this exercise are the proportion of males \(p_m\) who smoke and the proportion of females \(p_f\) who smoke.
02

- State the Null Hypothesis

The Null Hypothesis (\(H_0\)) is to assume there is no significant difference in the proportion of males who smoke and the proportion of females who smoke. So, the null hypothesis would be \(H_0 : p_m = p_f\).
03

- State the Alternative Hypothesis

The Alternative Hypothesis (\(H_A\)) is contrary to the null hypothesis. Here, the aim is to test if the proportion of males who smoke is significantly higher than the proportion of females. Thus, the alternative hypothesis would be \(H_A : p_m > p_f\).

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