Simple hypothesis testing

The first instance of  is under the Probability and statistics Math Mission. This exercise introduces the idea of a hypothesis being reasonable or not, which is vital for inferential statistics.

Types of Problems
There are three types of problems in this exercise:


 * 1) Find probability see if reasonable: This problem asks the probability of a particular event happening. After figuring out that probability and putting it in the slot, the student then determines if the event is reasonable under a neutral assumption or hypothesis.Simhyp1.png
 * 2) Use graph see if reasonable: This problem describes a situation that may or not be reasonable with a hypothesis. The student reads the problem and analyzes the simulation data and determines if they think the result is reasonable.Simhyp2.png
 * 3) Do a lot!: This problem asks several questions. First it asks the student to determine which of a number of simulations would accurately model a situation they are interested in. After this, they use a graph and determine if a particular hypothesis is reasonable with some data.Simhyp3.png

Strategies
This exercise is hard to get accuracy badges because you need to be very careful and hypothesis testing can seem very counter-intuitive until you get some experience with it. The speed badges are hard also, not only because accuracy badges are hard but also because some problems have many steps and questions in them.


 * 1) The cutoff for 'reasonableness' seems to be the standard 5% significance level.