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