Questions: A quality-conscious disk manufacturer wishes to know the fraction of disks his company makes which are defective. Step 1 of 2: Suppose a sample of 1222 floppy disks is drawn. Of these disks, 1100 were not defective. Using the data, estimate the proportion of disks which are defective. Enter your answer as a fraction or a decimal number rounded to three decimal places.

A quality-conscious disk manufacturer wishes to know the fraction of disks his company makes which are defective.
Step 1 of 2: Suppose a sample of 1222 floppy disks is drawn. Of these disks, 1100 were not defective. Using the data, estimate the proportion of disks which are defective. Enter your answer as a fraction or a decimal number rounded to three decimal places.
Transcript text: A quality-conscious disk manufacturer wishes to know the fraction of disks his company makes which are defective. Step 1 of 2: Suppose a sample of 1222 floppy disks is drawn. Of these disks, 1100 were not defective. Using the data, estimate the proportion of disks which are defective. Enter your answer as a fraction or a decimal number rounded to three decimal places.
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Solution

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Estimate the proportion of defective disks based on the given sample.

Calculate the number of defective disks.

Total disks sampled = 1222
Non-defective disks = 1100
Defective disks = Total disks - Non-defective disks = \(1222 - 1100 = 122\)

Calculate the proportion of defective disks.

Proportion of defective disks = \(\frac{\text{Defective disks}}{\text{Total disks}} = \frac{122}{1222} \approx 0.0998\)
Rounded to three decimal places, the proportion is \(0.100\).

\(\boxed{0.100}\)

\(\boxed{0.100}\)

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