A poll finds that 240 out of 400 surveyed voters support a proposal. Find the sample proportion.

Solution

Statistics · Easy

Step 1: Recall the formula for the sample proportion.

The sample proportion is:
p̂ = number of successes / sample size

Step 2: Identify the values.

The number who support the proposal is 240.
The total sample size is 400.

Step 3: Substitute into the formula.

p̂ = 240 / 400

Step 4: Simplify.

p̂ = 0.60

As a percentage:
0.60 × 100% = 60%

Therefore, the sample proportion is 0.60, or 60%.

Result

p̂ = 0.60 or 60%