Table of Contents

## What Is A Conditional Statement?

A conditional statement is a logical statement that is either true or false. The statement is composed of two parts: the condition and the consequent. The condition is a statement that must be true in order for the consequent to be true. The consequent is the statement that is true if the condition is true.

## Hypothesis Testing

Hypothesis testing is a technique used in statistics to determine whether a claim is true or not. The null hypothesis is a statement that there is no difference between the groups being studied. The alternative hypothesis is a statement that there is a difference between the groups being studied. The test statistic is a number that is used to determine the likelihood that the null hypothesis is true. The p-value is the probability that the test statistic would be as extreme as it is, if the null hypothesis were true. If the p-value is less than the alpha level, the null hypothesis is rejected and the alternative hypothesis is accepted.

### How Do We Know If A Statement Is True or False?

We can know if a statement is true or false by using evidence.

### Converse, Inverse, contrapositive, And Bi-conditional Statement

A statement is a sentence that is either true or false.

- The converse of a statement is a statement that is the inverse of the original statement. The converse is always false.
- The inverse of a statement is a statement that is the opposite of the original statement. The inverse is always true.
- The contrapositive of a statement is a statement that is the inverse of the converse of the original statement. The contrapositive is always true.
- A bi-conditional statement is a statement that is equivalent to the inverse of the converse of the original statement. The bi-conditional is always true.