Stats 5 Day 24
Chapter 21
SILENT DO NOW
ON DESK:
Sample Data and
Question for Poster
Agenda:
Poster Project!
DO NOW:
Review Sheet
Homework due Wednesday:
Ch. 22 P. 498-504 Notes
Poster Presentations
1.
2.
You will be comparing Pritzker to a claim
concerning the whole population
Come up with a claim/question you want to test (we
will look up the national proportion of that claim)
3.
Determine your hypotheses
4.
Survey the class for your sample
5.
Check your conditions (if you do not pass conditions,
note it and continue)
6.
Determine the P-Value and identify the significance
level
7.
Determine if you reject or fail to reject H0
8.
Interpret/Explain in context
9.
Explain any error that may have been made
Stats 5 Day 25
Chapter 21
SILENT DO NOW
ON DESK:
Sample Data and
Question for Poster
Agenda:
Poster Project!
Presentations!
DO NOW:
Get in groups, Start Work on Posters
Homework due Wednesday:
Ch. 22 P. 498-504 Notes
Poster Presentations
1.
2.
You will be comparing Pritzker to a claim
concerning the whole population
Come up with a claim/question you want to test (we
will look up the national proportion of that claim)
3.
Determine your hypotheses
4.
Survey the class for your sample
5.
Check your conditions (if you do not pass conditions,
note it and continue)
6.
Determine the P-Value and identify the significance
level
7.
Determine if you reject or fail to reject H0
8.
Interpret/Explain in context
9.
Explain any error that may have been made
Stats 5 Day 26
Chapter 22
SILENT DO NOW
ON DESK:
Chapter 22 Notes
DO NOW:
Ch 20/21 Do Now
Agenda:
Ch. 22 Notes
Class Example
ET + HW Time
Homework due Friday:
2-proportion Hypothesis Test WS
Objective
•
SWBAT conduct hypotheses to
compare two proportions from two
different populations
Comparing Different
Proportions
What we’ve done in Ch 20:


Hypothesis testing with one proportion
Tested a claim or compared a sub-population
to a given assumption about the population
What we’re going to do in Ch 22:
•
•
Hypothesis testing and confidence intervals
with 2 proportions
Comparing two different groups/populations
(determining if the difference is significant)
What changes in a 2proportion test?
•
•
1) We have 2 different proportions: px and py
2)Hypotheses- H0 : px – py (=/≤/≥) 0
HA : px – py (≠/>/<) 0
3) Need to check conditions for both proportions
4) We pool our proportions to find^p
5) SEpooled=√(ppooledqpooled/nx + ppooledqpool/ny)
6) Z = [(px-py) – 0 ]/ SEpooled
Pooling
•
•
^
ppooled = Successx + Successy
•
nx + ny
Successx = number of successes in sample x
•
•
•
•
**if not given, calculate Successx = nxp^x
Successy = number of successes in sample y
**if not given, calculate Successy = nyp^y
Pooling- Combining the counts to make
one proportion
Steps
1.
• 2.
• 3.
• 4.
• 5.
Hypotheses
Conditions
ppooled
SEpooled
z-score = (px-py) – 0
•
SEpooled
• 6. Find p-value
• 7. Interpret p-value for conclusion
•
Example
•
Let’s study something about us
comparing men and women? Low
GPA and high GPA students? Athletes
and non-athletes?
Exit Ticket in Pairs