Question

An analyst is trying to investigate the number of defective products in a manufacturing process. She collects a sample of 25 products and finds the proportion of defective products to be 0.5 in her sample. What is the standard deviation of the sample proportion? Note: 1- Only round your final answer to 3 decimal places.

Answer 1

The standard deviation of the sample proportion is 0.1.

Step-by-step explanation:

To find the standard deviation of the sample proportion, we use the formula:

σ = √(p*(1-p)/n)

where p is the proportion of defective products in the sample (0.5) and n is the sample size (25).

Plugging in the values:

σ = √(0.5*(1-0.5)/25) = √(0.25/25) = √0.01 = 0.1

Therefore, the standard deviation of the sample proportion is 0.1.