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What if the mean difference is 0?
It is used in hypothesis testing, with a null hypothesis that the difference in group means is zero and an alternate hypothesis that the difference in group means is different from zero. When the p-value falls below the chosen alpha value, then we say the result of the test is statistically significant.
What does statistically significant from 0 mean?
Specifically, if a statistic is significantly different from 0 at the 0.05 level, then the 95% confidence interval will not contain 0. Since zero is lower than 2.00, it is rejected as a plausible value and a test of the null hypothesis that there is no difference between means is significant.
How do you tell if mean difference is statistically significant?
To determine whether the observed difference is statistically significant, we look at two outputs of our statistical test: P-value: The primary output of statistical tests is the p-value (probability value). It indicates the probability of observing the difference if no difference exists.
What makes a t test result statistically significant?
A statistically significant t-test result is one in which a difference between two groups is unlikely to have occurred because the sample happened to be atypical. Statistical significance is determined by the size of the difference between the group averages, the sample size, and the standard deviations of the groups.
Which is the null hypothesis in a t test?
You can test the difference between these two groups using a t-test. The null hypothesis (H 0) is that the true difference between these group means is zero. The alternate hypothesis (H a) is that the true difference is different from zero. What type of t-test should I use?
When is a difference in p value statistically significant?
Usually, statistical significance is determined by calculating the probability of error (p value) by the t ratio. The difference between two groups (such as an experiment vs. control group) is judged to be statistically significant when p = 0.05 or less.
When is a finding not statistically significant?
If the exact probability is less than the critical alpha level, your finding is significant, and if the exact probability is greater than your critical alpha level, your finding is not significant. Using a table is not necessary when you have the exact probability for a statistic. Secondly, what is a good T STAT value?