Question

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 293 floppy disks is drawn. Of these disks, 20 were 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.

Answer 1

The estimated proportion of defective disks is calculated by dividing the number of defective disks (20) by the total in the sample (293), which gives an approximate result of 0.068 after rounding to three decimal places.

Step-by-step explanation:

To estimate the proportion of disks which are defective, you can use the sample that was drawn. You divide the number of defective disks by the total number of disks in the sample:

Proportion of defective disks = Number of defective disks / Total number of disks in the sample

Proportion of defective disks = 20 / 293

When performing this calculation, you get an approximate decimal number:

Proportion of defective disks ≈ 0.068

If you round this to three decimal places as instructed, the estimated proportion of defective disks is 0.068.