ECS132-D9

📗 -> 12/02/24: ECS132-D9

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[Lecture Slide Link]

🎤 Vocab

❗ Unit and Larger Context

Small summary

✒️ -> Scratch Notes

Type of Hypothesis Testing:

• Proportion
• Difference in means
• Single Sample
  One tail or two tail?

Example:

Flip a coin 50 times and see 30 heads
Claim: The test is unfair
Test your claim with 95% significance level

1. State the hypothesis
   
2. Compute the test statistic
   
3. p-value/critical value/confidence interval
   For this example, using confidence interval
   
   z-crit of two tailed 95% significance is 1.96
   se of proportion is
   
   
4. Conclusion/Decision

Since p=0.5 is contained inside the 95% CI, we fail to reject (FTR) the null hypothesis and conclude that the dice is fair with 95% level of confidence

Confidence Interval: I’m 95% sure that the true mean lies in between [low, high] where the variance () can be approximated by (sample variance).

% Confidence Level
% Significance Level
Confidence Interval

Transclude of ECS132-D9-2024-12-02-18.30.32.excalidraw

• a <- -> b
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Example) Given salmon and tuna weights as follows:

	Salmon	Tuna
Sample Average ()	20	15
Sample Variance	1	2
Sample Size ()	15	20
At 3% significance level, test the claim that salmon pop weight is at least 2lbs more than the population on average.

1. State hypothesis
   
2. Test Statistic
   
   
3. p-value/critical value/97% CI
   option a:
   
   z-crit for 97% significance is 1.88

🔗 -> Links

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