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• This section involves the accumulation of all previous sections in this chapter

- 1.Introduction to traditional hypothesis testing
- 2.
**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? - 3.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?
- 4.
**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”.

9.

Hypothesis Testing

9.1

Null hypothesis and alternative hypothesis

9.2

Proving claims

9.3

Confidence levels, significance levels and critical values

9.4

Test statistics

9.5

Traditional hypothesis testing

9.6

P-value hypothesis testing

9.7

Mean hypothesis testing with t-distribution

9.8

Type 1 and type 2 errors

9.9

Chi-Squared hypothesis testing

9.10

Analysis of variance (ANOVA)

9.11

Chi-square goodness of fit test

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