a. What does a significance test tell us? When do you use a 1 tailed t-test?...

a. What does a significance test tell us? When do you use a 1 tailed t-test? When do you use a 2 tailed t-test?

b. What is the difference between statistical significance and effect size? What information does each of these measures provide?

Expert Solution

a. The significance test tells us the validity of a proposition or a claim i.e. it tells us whether a claim is True or False.

We use 1-tailed t-test when we test population mean against a certain value and the alternative hypothesis is either left-tailed or right-tailed.

We use 2-tailed t-test when the alternative hypothesis is two-sided.

An example of one-tailed test is, H0: $\mu$ = 10 against H1: $\mu$ > 10

An example of two-tailed test is H0: $\mu$ = 10 against H1: $\mu$ $\neq$ 10

b. Statistical significance is the likelihood that the relationship between two or more variables has been caused by something other than chance.

Effect size measures the magnitude of the strength of ten relationship between two variables on a numeric scale.

orchestra answered 1 year ago

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