# What is a Null Hypothesis?

## Difference between Null Hypothesis and Alternate Hypothesis

Hypothesis tests help identify differences between two or more items and whether the differences are statistically significant or not.

### Null Hypothesis (Ho)

The null hypothesis is the statement that there is no statistically significant difference or relationship between variables.

Any differences that are observed are due to chance. It is a statement of "no effect" or "no difference."

### Alternate Hypothesis (Ha)

The alternate hypothesis (Ha) is the opposite. The alternate hypothesis states that there is a statistically significant difference or relationship between variables.

The goal of a hypothesis test is to is to prove that they are not statistically the same at some level of confidence (usually 95%, 99%).

Tests can be either one sided or two sided depending on how the null hypothesis is stated.

 Null Hypothesisone sided test Alternate Hypothesisone sided test Average1 <= Average2 Average1 >= Average2 Mean1 <= Mean2 Mean1 >= Mean2 Mean1 - Mean2 <= 0  Mean1 - Mean2 >= 0 Average1 > Average2 Average1 < Average2  Mean1 > Mean2  Mean1 < Mean2 Mean1 - Mean2 > 0  Mean1 - Mean2 < 0 That's Why QI Macros Interprets the Results of Statistical Tests for You Variance1 <= Variance2 Variance1 > = Variance2 Variance1 > Variance2 Variance1 < Variance2
 Null Hypothesis- two sided test Alternate Hypothesis - two sided test Average1 = Average2 Mean1 = Mean2 Mean1 - Mean2 = 0 (no difference) Average1 not = Average2 Mean1 not = Mean2  Mean1 - Mean2 not = 0 Variance1 = Variance2 Variance1 not = Variance2

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