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- Hypothesis Testing

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Try reviewing these fundamentals first

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Try reviewing these fundamentals first

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Get Started Now- Intro Lesson23:12
- Lesson: 1a4:38
- Lesson: 1b3:13
- Lesson: 1c5:51
- Lesson: 2a3:42
- Lesson: 2b3:04
- Lesson: 2c3:42
- Lesson: 35:19
- Lesson: 45:58
- Lesson: 510:18

Basic Concepts: Measures of relative standing - z-score, quartiles, percentiles, Introduction to normal distribution

- IntroductionUsing sample data, it is possible to find a Z-score relating to the claim (the test-statistic).

__Significance level__

__Confidence Level $(1-\alpha$)____Significance Level ($\alpha$)____Critical Value ($Z_{\alpha}$)__0.90

0.10

?

0.95

0.05

?

0.99

0.01

?

Left Tail Test:

.

Right Tail Test:

.

Two tailed Test:

.

- 1.
**Finding the Critical Value**

With a significance level of $\alpha =0.075$ what is the resulting critical value of:a)A right-tailed test?b)A left-tailed test?c)A two-tailed test? - 2.Find the critical value from the following confidence levels for a right-tailed test:a)90% confidenceb)95% confidencec)99% confidence
- 3.
**Rejecting or Failing to Reject the Null Hypothesis**

The following Null Hypothesis and Alternative Hypothesis have been derived from a statement:

$H_0$: $p \leq 0.5$

$H_1$: $p$ > $0.5$

Using a significance level of $0.10$ (which corresponds to a critical value of $Z_\alpha=1.28$), and a Z-score of $Z=1.40$ relating to our Null Hypothesis;

Can we reject the Null Hypothesis? - 4.The following Null Hypothesis and Alternative Hypothesis have been derived from a statement:

$H_0$: $\mu \geq 175 lbs$

$H_1$: $\mu$ < $175 lbs$

Using a 95% confidence level and a Z-score of Z=-1.50 relating to our Null Hypothesis;

Can we reject the Null Hypothesis? - 5.The following claim is made.

"70% of Canadians own a pet".

Given that the test-statistic is Z=2.75, with a confidence level of 90% what can be said about the proportions of pet owners in Canada?

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