Statistics

P-Hat Calculator

Find the sample proportion (p-hat) and its standard error.

Calculated Output

p-hat 0.225

Standard error 0.0295

Formula: p̂ = x ÷ n; SE = √(p̂(1−p̂)/n)

Step-by-Step Breakdown

1. Values used:

2. Successes = 45

3. Sample size = 200

5. p-hat = Successes / Sample size = 45 / 200 = 0.225

6. Standard error = 0.0295

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The math behind it

p̂ = successes ÷ sample size. Its standard error is √(p̂(1−p̂)/n).

45 of 200 → p̂ = 0.225, SE ≈ 0.0295.

What is p-hat used for?

Estimating a population proportion and building confidence intervals.