Question

If a random sample of 500 oranges produces 25 rotten oranges, then the estimate of sampling error of the proportion of rotten oranges in the sample?

Answer 1

1:19 is the ratio of rotten : fresh oranges

Answer 2

Answer:

The sampling error is ± 4.39

Step-by-step explanation:

The formula for sampling error is given by

$\text{Sampling error}=\pm\sqrt{\frac{2500}{N}}\times1.96$

Here, we have been given that

N = 500

Plugging, this value in the given equation, we get

$\text{Sampling error}=\pm\sqrt{\frac{2500}{500}}\times1.96\\\\\text{Sampling error}=\pm\sqrt5\times1.96\\\\\text{Sampling error}=\pm4.39$

Hence, the sampling error is ± 4.39