A correlation is a relationship between two variables. The data can be represented by the ordered pairs (x, y) where x is the independent (or explanatory) variable, and y is the dependent (or response) variable.
A scatter plot can be used to determine whether a linear correlation exists between two variables
The correlation coefficient is a measure of the strength and the direction of a linear relationship between two variables.
A hypothesis test is a process that uses sample statistics to test a claim about the value of a population parameter.
A verbal statement, or claim, about a population parameter is called a statistical hypothesis
A null hypothesis is a statistical hypothesis that contains a statements of equality.
A alternative hypothesis is the complement of the null hypothesis. It is a statement that must be true if H0 is false and contains a statement of inequality.
A type I error occurs if the null hypothesis is rejected when it is true.
A type II error occurs if the null hypothesis is not rejected when it is false.
The level of significance is your maximum allowable probability of making a type I error. It is denoted by a, the lowercase Greek letter alpha.