Question

​If, in a random sample of ​items, are​ defective, what is the sample proportion of defective​ items?

Answer 1

Complete Question:

If in a random sample of 400 items, 88 are defective, what is the sample proportion of defective items?

Answer:

22%

Explanation:

Given

`x = 88`

`n = 400`

Required

Determine the sample proportion, p

p is calculated using the following formula

`p = (x)/(n)`

Substitute values for x and n

`p = (88)/(400)`

`p = 0.22`

Convert to percentage

`p = 0.22 * 100\%`

`p = 22\%`

Hence, the proportion of defective items is 22%