Question

According to a candy company, packages of a certain candy contain 20% orange candies. Suppose we examine 50 random candies and find 18% are orange. What is the standard error for the proportion of a random sample of 50 orange candies? (Round 3 decimals) Group of answer choices

0.054

0.057

0.200

0.180

Answer 1

The standard error for the proportion of a random sample of 50 orange candies is approximately 0.057.

Step-by-step explanation:

To find the standard error for the proportion of a random sample of 50 orange candies, we can use the formula:

standard error = sqrt((p' * (1 - p')) / n)

Where p' is the sample proportion, n is the sample size, and sqrt represents the square root. In this case, the sample proportion is 18% or 0.18, and the sample size is 50. Plugging these values into the formula, we get:

standard error = sqrt((0.18 * (1 - 0.18)) / 50)

Calculating this, we find that the standard error for the proportion of a random sample of 50 orange candies is approximately 0.057.