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Chapter 8 .3

MATH 10041 Chapter Notes - Chapter 8 .3: Type I And Type Ii Errors, Normal Distribution


Department
Mathematics
Course Code
MATH 10041
Professor
Rajeev Rajaram
Chapter
8 .3

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Week 12
Wednesday
11/12/18
Chapter 8 cont.
8.3- Hypothesis Tests in Detail
Small p-value is extreme
Extreme value means something unusual has happened
Cannot use normal curve if the sample size is too small and/or if not randomly selected
We cannot make the significance level so super small (ex. 0 = 0%) because that
increases the probability that we will mistakenly fail to reject the null
Ex. if the probability of convicting an innocent man is 0%, everyone goes free.
But that means freeing a guilty person is 100%
True Reality
Ho
Ha
Ho
correct
Wrong (type 2)
Ha
Wrong
Correct
Decision
Statistically significant = reject null
Statistically significant findings do not necessarily mean the results are useful
Type I error
Reject the true null
Ex. Honot
Type II error
Fail to reject the null that you should actually reject
Ex. Ho is true, when actually
Don't say you proved something --- say you demonstrated or solved
Don't say accept the nulll ---say cannot reject or failed to reject or insufficient
evidence to reject null
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