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Chapter 10: Q 8. (page 640)

Digital video disks A company that records and sells rewritable DVDs wants to compare the reliability of DVD fabricating machines produced by two different manufacturers. They randomly select 500DVDs produced by each fabricator and find that 484of the disks produced by the first machine are acceptable and 480of the disks produced by the second machine are acceptable. If p1,p2are the proportions of acceptable DVDs produced by the first and second machines, respectively, check if the conditions for calculating a confidence interval for p1-p2are met.

Short Answer

Expert verified

All conditions are satisfied, we can find confidence interval.

Step by step solution

01

Given Information

It is given that n1=500

x1=484

n2=500

x2=480

02

Explanation

Three conditions for hypothesis test are:

Random: As assigned randomly, it is satisfied.

Independent: As all data values in population and used sample, it is satisfied.

Normal: Success in first sample is 484, and failures are 500-484=16, both are greater than ten , it is also satisfied.

All conditions are met, we can find confidence interval forp1-p2

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