1. In an opinion poll, 25% of a random sample of 200 people said that they were strongly opposed to having a state lottery. The standard error of the sample proportion is approximately (a) 0.0094 (b) 0.0306 (c) 0.0353 (d) 0.2500 (e) 6.1237

Question

Answer 1

### (b) 0.0306

Answer 2

## Step 1: Identify the formula for the standard error of the sample proportionThe standard error (SE) of a sample proportion

is calculated using the formula:

Where

is the sample proportion and

is the sample size.## Step 2: Substitute the given values into the formulaGiven that

and

, substitute these values into the formula:

## Step 3: Simplify the expressionCalculate the numerator:

Next, divide by the sample size

:

## Step 4: Calculate the square rootFind the square root of the result to get the standard error:

Question