Question

We know that 65% of all Americans prefer chocolate over vanilla ice cream. Suppose that 1000 people were randomly selected. The standard error of the sample proportion is a) 0.03567 b) 0.01508 c) 0.01798 d) 0.3785

Answer 1

To calculate the standard error of the sample proportion, you can use the formula:

Standard Error (SE) = sqrt [(p * (1 - p)) / n]

Where:

p is the population proportion (0.65 since 65% prefer chocolate, which is 0.65 as a decimal).

n is the sample size (1000 people).

Let's plug in these values and calculate the standard error:

SE = sqrt [(0.65 * (1 - 0.65)) / 1000]

SE = sqrt [(0.65 * 0.35) / 1000]

SE = sqrt [0.2275 / 1000]

SE = sqrt (0.0002275)

IT IS ≈

So, the correct answer is (b) 0.01508.

Explanation: