Z-Test for Single Proportions

Single Proportion Z-Test Calculator (Multiple Entries)

Instructions:

1. Paste your data into the box below. Your data should have one column for the **Number of Successes** and one for the **Sample Size**.
2. Enter the **hypothesized proportion** (p₀) you want to test against.
3. Click "Load Data" and then select the appropriate columns.

Formulas Used

This calculator uses the following formulas for a single proportion Z-test:

Z-score:

Z = (p̂ - p₀) / √(p₀(1-p₀)/n)

Confidence Interval:

CI = p̂ ± Z_α/2 * √(p̂(1-p̂)/n)

Where:
p̂ (p-hat) = Sample Proportion (x/n)
p₀ = Hypothesized Proportion
x = Number of Successes
n = Sample Size
Z_α/2 = The critical Z-value for the selected confidence level

Hypothesized Proportion (p₀):

Select Your Data Columns

Number of Successes (x)

Sample Size (n)

Confidence Level: 90% 95% 99%