# Category Hypothesis Tests

## Chi-Square Goodness-of-Fit Test

Chi-Square Goodness-of-Fit (also referred to a Pearson’s Chi-Square Test) is a statistical method for determining how an actual or observed distribution of categorical variables relates to a theoretical distribution of those same variables. The Chi-Square Test is a non-parametric test meaning that its graph is not expected to approximate a normal distribution curve. An example […]

## Hypothesis Test for Paired Means

This test is sometimes called a Matched Pairs Hypothesis t Test. Matched pair design is when a person is tested against himself or very similar subjects matched in pairs. The randomness happens in which treatment is given first (if the subject is paired with himself) or which treatment is given to who (if contrasting the […]

## Hypothesis Test for Two Independent Proportions

A Hypothesis Test for two Independent Proportions answers a research question through statistical analysis about two independent proportions. This hypothesis test looks at whether or not there is a significant difference between the two proportion variables. Using this hypothesis test our test statistic will be Z, and we will be therefore be modeling with a Null Distribution. This hypothesis […]

## Hypothesis Test for a Single Proportion

A Hypothesis test for a single proportion is used to see if a sample is reflective of the whole population or is a new proportion must be established for a known value. (Example) Can be used to compare a data set with a known value or null hypothesis. Used when a success/failure is easily applied to […]

## Hypothesis Test for a Single Mean

A hypothesis test for a single mean is a research procedure by which a statistical inference is made through a decision about a single quantitative population parameter. This type of hypothesis test is a student t-distribution, where we analyze the more-accurate t-distribution of the sample, and calculating the test statistic ““. A hypothesis test requires […]

## Hypothesis Test for a Single Proportion

A hypothesis test for a single proportion measures the proportion of a sample taken from the population for a given trait in order to infer information about the proportion of that trait in the whole population itself. The hypothesis test for a single proportion is a test of two contradictory hypotheses about the proportion of the […]

## Hypothesis Test for Two Independent Means

When you want to find the difference of two means, you should use a hypothesis test for two independent means. You need two independent variables in this test. One must be categorical (i.e. men or women, employed or unemployed) and the other must be quantitative (i.e. temperature, salary). This test has five steps, which are […]