Question

In: Statistics and Probability

Explain the difference between statistical and practical significance. Explain the difference between the null and alternative...

Explain the difference between statistical and practical significance.

Explain the difference between the null and alternative hypotheses.

When should a one-tailed test be used? What are the disadvantages to using a one-tailed test?

When should you use a two-tailed test?

Define a Type I error. In the behavioral sciences, what is the likelihood of a Type I error?

Define a Type II error. In the behavioral sciences, what is the likelihood of a Type II error?

Solutions

Expert Solution

1. the statistical significance relates to whether an effect exists whereas practical significance refers to the magnitude of the effect

2. null hypothesis is a hypothesis that says there is no statistical significance between the two variables and  is usually the hypothesis a researcher will try to disprove . An alternative hypothesis is one that states there is a statistically significant relationship between two variables.

3. A one-tailed test is where you are only interested in one direction. If a mean is x and you might want to know if a set of results is more than x or less than x. The disadvantage of one-tailed tests is that is has no statistical power to detect an effect in the other direction.

4.A two-tailed test is appropriate if you want to determine if there is any difference between the groups you are comparing.

5.In statistical hypothesis testing a type I error is the rejection of a true null hypothesis (a.k.a "false positive" false  conclusion), while a type II error is the non-rejection of a false null hypothesis ( "false negative" conclusion).


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