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Chapter 10: Q.9 (page 622)

Explain why the conditions for using two-sample z procedures to perform inference about p1-p2are not met in the settings

Shrubs and 铿乺e Fires are a serious threat to shrubs in dry climates. Some shrubs can resprout from their roots after their tops are destroyed. One study of resprouting took place in a dry area of Mexico.7The investigators randomly assigned shrubs to treatment and control groups. They clipped the tops of all the shrubs. They then applied a propane torch to the stumps of the treatment group to simulate a 铿乺e. All 12of the shrubs in the treatment group were resprouted. Only 8 of the 12 shrubs in the control group were resprouted.

Short Answer

Expert verified

From the given information, here, success in the treatment group is 8which is less than 10. It implies that the normality assumption is not fulfilled here.

So, the two-proportion z -test is not appropriate in this case.

Step by step solution

01

Given Information

It is given in the question that, for treatment group

Number of success (x)=8

Number of events(n)=12

02

Step 2: Explanation

To conduct the two-proportion z -test, the number of successes in both samples must be more than 10. Here, success in the treatment group is 8which is less than 10. It implies that the normality assumption is not fulfilled here.

So, the two-proportion z -test is not appropriate in this case.

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