Part IIICourse materialsTeaching Modules 7 & 8

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Statistical Inference

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Module 7-10 Overview

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7.1 Distribution of Sample Proportions • Activity –

create a sampling distribution

• Simulation – examine effect of sample size

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7.1 Distribution of Sample Proportions • Activity –

create a sampling distribution

• Simulation – examine effect of sample size

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7.1 Distribution of Sample Proportions• Central Limit Theorem

– Explore through simulation– Calculate probability of occurrence of certain

sample statistics– Foreshadowing inference

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7.1 Distribution of Sample Proportions• Central Limit

Theorem– Explore

through simulation

– Calculate probability of occurrence of certain sample statistics

– Foreshadowing inference

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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

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7.2 Introduction to Statistical Inference

• Activity – foreshadow logic of p-value

• Use sampling distributions to reason about claims on a population proportion

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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%

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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

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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

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Wrap-Up, Checkpoints, Reflections

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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 ….

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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

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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 klipple@carnegiefoundation.org

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

www.carnegiefoundation.org