part iii course materials teaching modules 7 & 8
TRANSCRIPT
4
7.1 Distribution of Sample Proportions • Activity –
create a sampling distribution
• Simulation – examine effect of sample size
5
7.1 Distribution of Sample Proportions • Activity –
create a sampling distribution
• Simulation – examine effect of sample size
6
7.1 Distribution of Sample Proportions• Central Limit Theorem
– Explore through simulation– Calculate probability of occurrence of certain
sample statistics– Foreshadowing inference
7
7.1 Distribution of Sample Proportions• Central Limit
Theorem– Explore
through simulation
– Calculate probability of occurrence of certain sample statistics
– Foreshadowing inference
8
7.2 Introduction to Statistical Inference• Present point
estimates, interval estimates, and margin of error from polls
• Confidence Intervals – concept based on
variability of sample statistics
– based on Empirical Rule
• Interpretation of Confidence Intervals
9
7.2 Introduction to Statistical Inference
• Activity – foreshadow logic of p-value
• Use sampling distributions to reason about claims on a population proportion
10
8.1 Confidence Intervals for Proportions• Logical development
• Calculation:– Normality assumption– Finding critical values
• Interpretation
• Impact of sample size and confidence level on margin of error
• Contexts: college student characteristics – UFOs, coffee drinking habits, etc.
-4 -2 0 2 4
Z-Z
5% 5%90%
11
8.2 Hypothesis Testing - conceptual understanding
• Introduction to idea of testing claims about parameters based on statistics– Mean– Proportion– Two proportions– Two means
• MyStatway: revisit research hypotheses from Mod 1
• Explore steps in process
• Examine logic of Process– Interpret p-values– Draw conclusions
• Define, interpret– Significance level– Type I and Type II Errors
• Contexts:– Obama support, cell
phones and brain cancer, college GPA, voting among college students, ESP
12
8.3 Hypothesis Testing - Calculations• Calculate using table or
technology – technology instructions in
MyStatway– Testing conditions– one-sided, two-sided
• Contexts:– college students voting for
Obama, 2008 and now– Bullying in schools– Youth asthma rates– Global warming– Health insurance coverage– Internet access– Financial aid– Drinking among college students
• Emphasis– Writing conclusions in
context
• Interpreting errors
• Understanding importance of random, representative samples
14
Professional Development• This presentation was for teachers preparing to teach
the second semester.
• After the presentation, the teams from each school worked together on the following tasks ….
15
Next Steps…• Mapping of MyStatway and Lessons
– What would this look like? Create a template or sample.
• Additional Practice Problems– How many? What types? Solutions? Create or outline a set.
• Cultivating Productive Struggle– Practice implementing, Discuss strategies for use
• Practice Using Simulations– Review existing simulations and practice using in class
• Plan Lessons with Your Team
16
Record & Report OutCapturing your work is vital, so that we can
• Learn from each other and build upon each others work
• Establish a network-wide design and implementation strategy
• Send notes to Karon [email protected]
We’ll also want to report out here from our tables. Tell us:
• A key insight in your work
• What you’ve accomplished
• Next steps