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 542 floppy disks is drawn. Of these disks, 37 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

0.068 or 6.826%

Explanation:

In order to calculate the proportion of disks that are defective, we need to divide the number of defective disks by the total amount of disks that were chosen in the given sample. Using the data provided this would be the following calculation...

37 / 542 = 0.068

We can multiply this by 100 to get the percentage value

0.068 * 100 = 6.826%

Therefore, roughly 6.826% of the entire disk population would be defective.