P-Hat Calculator (Sample Proportion)

Your details

Choose whether to compute p-hat from raw counts, or test p-hat against a claimed proportion.
Count of individuals or trials with the characteristic of interest.
Total number of observations in the sample.
Confidence level for the proportion confidence interval.
p-hat (sample proportion)Normal approximation valid
0.45

Proportion of successes in the sample: x / n

Standard error0.0497
CI lower bound0.3525
CI upper bound0.5475
np validity check45
n(1-p) validity check55
0.45
Very rare<0.1Low0.1-0.3Moderate0.3-0.7High0.7-0.9Near-certain0.9+

p-hat = 0.4500 (45.00%)

  • Your sample proportion is 45.0%, meaning 45.0 out of every 100 observations show the characteristic.
  • The 95% confidence interval is 35.25% to 54.75%. You can be 95% confident the true population proportion falls in this range.

Next stepTo test whether your proportion differs from a specific value, switch to z-score mode and enter the null-hypothesis proportion.

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