Examples for

# Statistical Inference

Statistical inference is the application of statistical methods to a set of data in order to infer conclusions about the data sample drawn from a population. Use Wolfram|Alpha's powerful algorithmic know-how to compute the validity of hypotheses, the sample size required to draw valid conclusions and the confidence intervals for various inferred population statistics.

### Sample Size Determination

Compute the sample size necessary to draw statistically valid conclusions about a population from a dataset.

#### Find the sample size needed to estimate a binomial parameter:

#### Find the sample size needed to estimate a population mean:

### Hypothesis Testing

Test the validity of hypotheses and conjectures regarding statistical quantities derived from a sample of data.

#### Test for a binomial parameter:

#### Test for the difference between binomial parameters:

#### Test for a population mean:

#### Test for the difference between population means:

### Confidence Intervals

Compute the confidence intervals for population statistics based on sample size or the characteristics of the data sample.