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- Hypothesis Testing

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Get Started Now- Intro Lesson7:54
- Lesson: 1a5:41
- Lesson: 1b3:00
- Lesson: 1c4:31
- Lesson: 2a7:04
- Lesson: 2b3:12
- Lesson: 2c6:22

- IntroductionThe Test Statistic is a Z-score corresponding to a particular Null Hypothesis. It is given below for the two types of claims:

• Proportion: $Z= \frac{ \hat{p}-p}{ \sqrt{{ \frac{p(1-p)}{n}}}}$

• Mean: $Z=\frac{\overline{x}-\mu}{\frac{\sigma}{\sqrt{n}}}$ - 1.Charlie goes to a thrift store and tries on 50 Hawaiian shirts. He finds that he likes 35 of them. If Charlie were to try on every Hawaiian shirt in the store what is the test statistic that he likes;a)60% of all the Hawaiian Shirts?b)70% of all the Hawaiian Shirts?c)80% of all the Hawaiian Shirts?
- 2.From a batch of 100 Toblerone Bars, the mean weight was found to be $\overline{x} =170$g. It is known that the standard deviation of all Toblerone bars is $\sigma=15$g. Find the test statistic that the mean weight of all Toblerone bars is,a)$\mu=165$gb)$\mu=170$gc)$\mu=175$g

10.

Hypothesis Testing

10.1

Null hypothesis and alternative hypothesis

10.2

Proving claims

10.3

Confidence levels, significance levels and critical values

10.4

Test statistics

10.5

Traditional hypothesis testing

10.6

P-value hypothesis testing

10.7

Mean hypothesis testing with t-distribution

10.8

Type 1 and type 2 errors

10.9

Chi-Squared hypothesis testing

10.10

Analysis of variance (ANOVA)

10.11

Chi-square goodness of fit test

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