## About Statistical Significance Calculator (Formula)

The Statistical Significance Calculator is a tool used in statistical analysis to determine whether the results of a study or experiment are statistically significant. Statistical significance indicates the likelihood that the observed results are not due to chance but are instead a result of the variables being studied.

The calculation of statistical significance involves comparing the sample data to a known population or reference value. The formula used for this calculation is based on the concept of a z-value, which measures the number of standard deviations a sample mean is away from the population mean. The z-value is calculated by subtracting the population mean from the sample mean and dividing it by the standard deviation divided by the square root of the sample size.

The following formula used type 1 error to determine statistical significance.

**$Z=(x−u)/(std/sqrt(n))$**

By calculating the z-value, we can determine the probability of obtaining the observed sample mean under the assumption that the population mean is equal to the reference value. If the calculated z-value exceeds a certain threshold, typically determined by a chosen significance level (e.g., 0.05), then the results are considered statistically significant, indicating that the observed difference between the sample and population means is unlikely to be due to random variation alone.

The Statistical Significance Calculator provides researchers, scientists, and analysts with a quantitative measure to assess the validity and reliability of their findings. It helps in drawing meaningful conclusions and making informed decisions based on the evidence obtained from the data. By understanding the statistical significance of their results, researchers can confidently interpret their findings and communicate them effectively to the relevant audience.