# Null hypothesis and alternative hypothesis

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##### Intros

###### Lessons

- Hypothesis Testing is the method of testing whether or not a claim is valid

Two types of claims:

• Proportions: Data given by percentages, %

• Means: given by data measurements, $\mu$

Null Hypothesis $(H_0)$:

The result that is hoped to be proven false. It is a single parameter.

Given by: "$=$"

Alternative Hypothesis $(H_1)$:

The result that is hoped to be true. It is a wide range of parameters, where the truth of this hypothesis is tested based off the verity of the Null Hypothesis.

Given by: "< , >, $\neq$"

##### Examples

###### Lessons

**Intuitively Judging Validity of Claims**

You meet a woman on the street who says she has Extra Sensory Perception (ESP) and can predict the probability of dice rolls with 70% probability. To test this you roll the die 90 times, and see how many times she "guesses" correctly.**Determining Claims**

What were the Null Hypothesis and the Alternative Hypothesis from the previous question?

- Which claims are Null Hypotheses and which claims are Alternative Hypotheses?
- For each of the following claims:

i) State whether each claim refers to proportions or means.

ii) Identify which claims are $H_0$ and which claims are $H_1$.

iii) Form the following claims into mathematical statements.