# How do you tell if mean difference is statistically significant?

## How do you tell if mean difference is statistically significant?

If the absolute value of the test statistic is greater than 1.96* standard deviations of the mean, then it’s considered a statistically significant difference.

### What is meant by statistically significant?

What is statistical significance? “Statistical significance helps quantify whether a result is likely due to chance or to some factor of interest,” says Redman. When a finding is significant, it simply means you can feel confident that’s it real, not that you just got lucky (or unlucky) in choosing the sample.

#### What does a statistically significant relationship mean?

Statistical Significance

The Meaning of Statistical Significance. If a relationship between two categorical variables is statistically significant it means that the relationship observed in the sample was unlikely to have occurred unless there really is a relationship in the population.

**What percentage is statistically significant?**

5%

Generally, a p-value of 5% or lower is considered statistically significant.

**What does it mean if a relationship is not statistically significant?**

This means that the results are considered to be „statistically non-significant‟ if the analysis shows that differences as large as (or larger than) the observed difference would be expected to occur by chance more than one out of twenty times (p > 0.05).

## Is 0.05 statistically significant?

P > 0.05 is the probability that the null hypothesis is true. A statistically significant test result (P ≤ 0.05) means that the test hypothesis is false or should be rejected. A P value greater than 0.05 means that no effect was observed.

### Is 0.3 statistically significant?

In the majority of analyses, an alpha of 0.05 is used as the cutoff for significance. If the p-value is less than 0.05, we reject the null hypothesis that there’s no difference between the means and conclude that a significant difference does exist. Below 0.05, significant. Over 0.05, not significant.