Complete Question:
If in a random sample of 400 items, 88 are defective, what is the sample proportion of defective items?
Answer:
22%
Step-by-step explanation:
Given
[tex]x = 88[/tex]
[tex]n = 400[/tex]
Required
Determine the sample proportion, p
p is calculated using the following formula
[tex]p = \frac{x}{n}[/tex]
Substitute values for x and n
[tex]p = \frac{88}{400}[/tex]
[tex]p = 0.22[/tex]
Convert to percentage
[tex]p = 0.22 * 100\%[/tex]
[tex]p = 22\%[/tex]
Hence, the proportion of defective items is 22%
