# Tertiary Catalogue

## Mathematics

### Hypothesis Testing for the Population Proportion

In this video we'll look at how to run a full hypothesis test, from beginning to end, or a proportion, instead of a mean. We'll also consider what it looks like to run this as a one-tail test and as a two-tail test.

### The Medical Test Paradox: Can Redesigning Bayes' Rule Help?

This video uses the medical test paradox to discuss likelihood ratios, which are also sometimes known as Bayes factors.

### What Makes the Natural Logarithm "Natural"?

A video all about the natural logarithm, ln(x).

### Binomial Distributions

The binomial distribution, introduced as setup to talk about the beta distribution

### Mathematics and the Real World

University of Warwick mathematician and bestselling author Ian Stewart describes how pure and applied mathematics can be combined to solve problems of the world around us.

### Altitude of a Triangle

Triangles and Their Properties

An example of a substitution reaction is halogenation in which alkanes such as methane react with halogens such as chlorine in the presence of heat or light to form chloromethane and hydrogen chloride.

### Equilateral and Isosceles Triangles

Triangles and Their Properties

A triangle in which all sides are of equal length and the measure of each angle is 60° is called an equilateral triangle. A triangle in which two sides are of equal length and the base angles are of equal measure is called an isosceles triangle.

### Sum of the Length of Two Sides of the Triangle

Triangles and Their Properties

The sum of the lengths of any two sides of a triangle is greater than the length of its third side.

### Medians of Triangle

Triangles and Their Properties

The medians of a triangle are the line segments that join each vertex of the triangle to the midpoint of its opposite side.

### Rhombus

A rhombus has four sides of equal length and the opposite sides are parallel. It is a type of quadrilateral and also falls under the category of a parallelogram.

### Significance Level and Type I and II Errors

The level of significance is the alpha value of our test, and it also represents the probability of making a Type I error. A Type I error occurs when we mistakenly reject the null hypothesis when the null hypothesis is actually true.