# Traditional hypothesis testing

### Traditional hypothesis testing

#### Lessons

• This section involves the accumulation of all previous sections in this chapter
• Introduction
Introduction to traditional hypothesis testing

• 1.
Traditional Proportion Hypothesis Testing
I make the claim that "75% of people like statistics." If 50 people were sampled and it was found that 64% of them like statistics then with a significance level of $\alpha=$0.05 can my claim be proven to be false?

• 2.
Thomas is shopping for a used car. He is fairly unconcerned with what car he buys and makes the claim that "[he] likes most cars". If he checks out 40 cars and he likes 30 of them, with a 90% confidence level is his claim true?

• 3.
Traditional Mean Hypothesis Testing
Daisy is brewing a batch of Kombucha. She made a total of 20 jars, with a standard deviation of $\sigma=2$ $oz$. If she samples 5 jars and finds that the mean amount of liquid in these 5 jars is $\overline{x} =27$ $oz$, then with 99% confidence what could be said about the claim that "she has on average less than 30 ounces per jar".