# Questions about Statistics: Correlation to hypothesis test

Does correlation equal causation? Why or why not?

What is the relationship between correlation and association?

What is association?

When would you use regression correlation at your place of employment, in your education, or in politics?

How do you identify outliers in your data?

What are the differences between a two-tail test and a single (or one) tail test?

What is a variable?

What is variance?

Define the term reliability.

Why is a t-statistic, as opposed to a z-statistic, used to test small populations?

Why should the alternate hypothesis be the opposite of the null?

How many alternate hypotheses can we have?

Why do we state that we fail to reject the null - instead of simply saying that we have proven the null?

What do you do when testing two populations, and one sample's size is small and the other sample's size is large?

What do the following symbols represent? (this question counts for 30 points)

a) H0 =

b) H1 =

c) S (Uppercase Sigma) =

d) s (Lowercase Sigma) =

e) s =

f) s2 =

g) X bar (x-bar) =

h) alpha =

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#### Solution Preview

Hello -

1.) Does correlation equal causation? Why or why not?

Correlation does not equal causation. Correlation means that there is a relationship between two variables, but not that one caused the other.

2.) What is the relationship between correlation and association?

Correlation is a measure of linear association between variables. In fact, the correlation coefficient, r, measures this linear association between two variables.

3.) What is association?

In general, two variables are associated if some of the variability of one can be accounted for by the other variable.

4.) When would you use regression correlation at your place of employment, in your education, or in politics?

In Politics, for example, you might try to find a correlation between IQ score and Politician voted for. Maybe an association could be found between IQ scores and voting Democrat or Republican.

5.) How do you identify outliers in your data?

A good way to identify outliers in data is to visually inspect the ...

#### Solution Summary

The solution provides answers to a series of questions relating to basic Statistics. Questions cover topics such as outliers, hypothesis testing, regression, and correlation.