What does it mean if my t-test is 0?

What does it mean if my t-test is 0?

A t-value of 0 indicates that the sample results exactly equal the null hypothesis. As the difference between the sample data and the null hypothesis increases, the absolute value of the t-value increases.

What does it mean when the null hypothesis is rejected?

If there is less than a 5% chance of a result as extreme as the sample result if the null hypothesis were true, then the null hypothesis is rejected. When this happens, the result is said to be statistically significant .

What type of error occurs if the null hypothesis is rejected when it is true?

In statistical analysis, a type I error is the rejection of a true null hypothesis, whereas a type II error describes the error that occurs when one fails to reject a null hypothesis that is actually false. The error rejects the alternative hypothesis, even though it does not occur due to chance.

What happens if my p-value is 0?

P value 0.000 means the null hypothesis is true. Anyway, if your software displays a p values of 0, it means the null hypothesis is rejected and your test is statistically significant (for example the differences between your groups are significant).

How do you know if you reject or fail to reject the null hypothesis?

After you perform a hypothesis test, there are only two possible outcomes.

1. When your p-value is less than or equal to your significance level, you reject the null hypothesis. The data favors the alternative hypothesis.
2. When your p-value is greater than your significance level, you fail to reject the null hypothesis.

How to do the hypothesis test for Sigma?

Assess the statistical significance by comparing the p-value to the α-level. Check the requirements for the hypothesis test. Show the appropriate connections between the numerical and graphical summaries that support the hypothesis test. Draw a correct conclusion for the hypothesis test. 2 What If We Don’t Know σ?

When to use Sigma unknown or sample standard deviation?

So, it is generally not appropriate to use the formula In 1908, William Sealy Gosset published a solution to this problem . He found a way to appropriately compute the confidence interval for the mean when σ is not known. The basic idea is to use the sample standard deviation, s in the place of the true population standard deviation, σ.

How to calculate the confidence interval for Sigma unknown?

Identify a point estimate and margin of error for the confidence interval. Show the appropriate connections between the numerical and graphical summaries that support the confidence interval. Check the requirements the confidence interval. State the null and alternative hypothesis.

Which is the correct distribution for σ unknown?

In a remarkable piece of work, Gosset found the appropriate distribution to use when σ is unknown. At the time of this discovery, Gosset worked for the Guinness brewery. To avoid problems with industrial espionage, Guinness prohibited employees from publishing any research results.