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Chapter 10: Q.10 (page 622)

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

Broken crackers We don’t like to find broken crackers when we open the package. How can makers reduce breaking? One idea is to microwave the crackers for 30seconds right after baking them. Breaks start as hairline cracks called “checking.” Assign 65newly baked crackers to the microwave and another 65to a control group that is not microwaved. After one day, none of the microwave group and 16 of the control group show checking.8

Short Answer

Expert verified

From the given information,

The success rate in the first sample, i.e. the microwave group, is 0(less than 10). It means that the normalcy assumption isn't met in this case.

As a result, the two-proportion z-test is inappropriate in this situation.

Step by step solution

01

Given Information

It is given in the question that, the values arex1=0,n1=65,x2=16,n2=65

02

Step 2: Explanation

The number of successes in both samples must be greater than 10to execute the two-proportion z-test.

The success rate in the first sample, i.e. the microwave group, is 0(less than 10). It means that the normalcy assumption isn't met in this case.

As a result, the two-proportion z-test is inappropriate in this situation.

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Most popular questions from this chapter

Dropping out You have data from interviews with a random sample of students who failed to graduate from a particular college in 7years and also from a random sample of students who entered at the same time and did graduate. You will use these data to compare the percentages of students from rural backgrounds among dropouts and graduates.

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