Textbook Notes (280,000)
US (110,000)
KSU (300)
MATH (70)
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

This preview shows half of the first page. to view the full 1 pages of the document.
Week 12
Wednesday
11/12/18
Chapter 8 cont.
8.3- Hypothesis Tests in Detail
ā Small p-value is extreme
ā Extreme value means something unusual has happened
ā Cannot use normal curve if the sample size is too small and/or if not randomly selected
ā 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
ā 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
Decisionā
ā Statistically significant = reject null
ā Statistically significant findings do not necessarily mean the results are useful
ā Type I error
ā Reject the true null
ā  Ex. Hoā¦ānotā
ā Type II error
ā Fail to reject the null that you should actually reject
ā  Ex. Ho is true, when actuallyā¦
ā Don't say you āprovedā something --- say you ādemonstratedā or āsolvedā
ā Don't say āaccept the nulllā ---say ācannot rejectā or āfailed to rejectā or āinsufficient
evidence to reject nullā