AP Statistics
Day 100
1)
Return Chapter 18-19 Quiz
2)
Write down something significant that happened in your lifetime
--Estimate the proportion of your lifetime that it took for that moment to occur
3)
Hypothesis Testing
-Step 1:
-Step 2:
-Step 3:
-Step 4:
-Step 5:
4)
(Test of Significance)
State the hypotheses
Calculate the test statistic (z)
Calculate the critical value
Calculate the P-value
-Note: If using the traditional method, then p-value is not needed
-Note: If using confidence interval, then p-value is not needed
Make conclusions
Step 1: State the hypotheses
-Null Hypothesis (Ho): No Change in population
-Alternative Hypothesis (Ha or H1): Population differs from the null hypothesis
-Can be >, <, ≠
-Read Examples 10.30, 10.31, 10.32 from page 540 in old Statistics book
5)
Step 2:
Calculate the test statistic (z)
-Can be for proportion (p-hat)
-Formula page
-Can be for mean z or t
-Formula page
-Can be for deviation
-Formula page
-Example page 392
6)
Step 3: Critical Value
-The area of the density curve described by the alternative hypothesis (<, >, ≠)
-Flowchart on page 396
7)
Step 4:
Calculate P-Value
8)
P is probability value
Value from back chart
Step 5: Make Conclusions
-Which is proven true Ho or Ha
-Compare P-Value to significance level
-If P Value is below alpha, then Ha is true
-If P Value is above alpha, then Ho is true
Hypothesis Testing (Test of Significance)
-Step 1: State the hypotheses
-Step 2: Calculate the test statistic (z)
-Step 3: Calculate the critical value
-Step 4: Calculate the P-Value
-Note: If using the traditional method, then p-value is not needed
-Note: If using confidence interval, then p-value is not needed
-Step 5: Make conclusions
Test Statistic - Formulas
p̂  p
z
pq
n
Test statistic for
proportion
Test statistic
for mean
z
Test statistic for
standard deviation
Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.
x

n
x
or t 
s
n
2
n

1
s


2
 
2
8.1 - 23
Procedure for Finding P-Values
Figure 8-5
Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.
8.1 - 33
Wording of Final Conclusion
Figure 8-7
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9) Assignment
-Page 471/13,14
8.1 - 47