Mr. Rogers - AP Statistics Objectives
Syllabus 1st Quarter 2nd Quarter 3rd Quarter 4th Quarter
11 t-Test- 12 Inf for Prop 13 Chi Test 14 Regression  
Unit Plan Practice Test
Latin

Latin/Greek Root Words

arch--------->ancient, example: archtype;         chrono------>time, example: chronology;             -dom----------->quantity/state, example: freedom               fer-------->carry, example: transfer;               gen--------->birth, example: generate;                 luc-------->light, example lucid;                 neo--------->new, example: neonatologist;                olig--------->few, example: oligarchy;              omni--------->all, omniscient;            sym--------->together, symbol;

(Statistics connection)

 

AP Statistics Standards

IV. Statistical Inference: Confirming models

A. Confidence intervals

  1. The meaning of a confidence interval
  2. Large sample confidence interval for a proportion

B. Tests of significance

  1. Logic of significance testing, null and alternative hypotheses; p-values; one- and two-sided tests; concepts of Type I and Type II errors; concept of power
  2. Large sample test for a proportion
  3. Large sample test for a mean
  4. Large sample test for a difference between two proportions

 

Objectives

Essential Question: How does a confidence interval for proportions compare to one for means?

Ch. 12.1 Inference for Proportions

  1. State the meaning of p-hat. A statistic representing a population proportion

  2. Calculate the mean and standard deviation of a binomial distribution.

Data Type Mean Std Dev
count np [np(1 - p)]^0.5
proportion p [p(1 - p) / n]^0.5
  1. Be aware that a binomial distribution (the distribution typically used for analyzing proportions) is essentially a sampling distribution. Note that as a sampling distribution, when the sample size is large enough (see below), the distribution begins to resemble a normal distribution.

  2. When appropriate, correctly model a binomial distribution as a normal distribution if the 2 conditions shown below are met.

np 10

n(1-p) 10

  1. Create a confidence interval for a proportion based on single large  sample  (p.689).

ME = Z* [p(1 - p) / n ]0.5

  1. Perform a hypothesis test comparing a single large sample proportion (p-hat) against a know population proportion (p). Note, this is a z-test.

 

Homefun (formative/summative assessment):  -- 12.7, 12.9 -- Read section 12.1

 

Activities

Lesson 1
Essential Question: How can inferences be draw for single sample proportions?

Warm up (individuals):

  1. What type of distribution is most useful for evaluating surveys for voting or yes or no questions?

  2. Why does the binomial distribution start to look like a normal distribution when the sample size is large?

Interactive Discussion: Objectives 1-2. D

Stats Investigation (Teams of two):  

Essential Question: Assuming an SRS and given equal sized margins of error, is the sample size required to survey the entire United States substantially larger than the one for conducting the same survey in Greenville SC?

Ch. 12.1, 12.2

  1. Calculate the desired sample size for a given margin of error in a proportion (p. 696). Remember that p = 50% will give the max sample size and hence most conservative estimate of the size needed. Using the equation for margin of error, solve for n.

Relevance: Survey results are a ubiquitous feature of newspaper and magazine articles as well as political arguments. The above is the basic way that surveys are designed.

  1. Create a confidence interval for comparing two sample proportions (p.704).

  2. State the Ho used for comparing two sample proportions.

  3. Calculate the pooled portion of successes using both samples.

 
ppooled =   count of successes in both samples combined 
count of observations in both samples combined
           = X1 + X2
n1 + n2

  1. Perform a hypothesis test for comparing two sample proportions (p. 708).

 

Homefun (formative/summative assessment): 12.11,  12.25, 12.27, 12.35 -- Read Section12.2

 

Lesson 2
Essential Question: How can inferences be draw for two sample proportions?

Warm up questions  (individuals):

  1. What's the difference between p and p-hat?
  2. What are the two rules of thumb for modeling the binomial distribution with a normal distribution?

 

Mr

Mr. Rogers' Twitter Site

Check out other web sites created by Mr. R:

 

 

 
Want to learn more about movie physics in Star Trek and find out :
  • what makes Star Trek unique
  • how Star Trek compares to Star Wars
  • why the star ship Enterprise needs to remain in space
  • what should and shouldn't be done in space battles
  • what it takes to blast off and travel the galaxy
  • the basics of orbiting
Insultingly Stupid Movie Physics is one of the most humorous, entertaining, and readable physics books available, yet is filled with all kinds of useful content and clear explanations for high school, 1st semester college physics students, and film buffs.

It explains all 3 of Newton's laws, the 1st and 2nd laws of thermodynamics, momentum, energy, gravity, circular motion and a host of other topics all through the lens of Hollywood movies using Star Trek and numerous other films.

If you want to learn how to think physics and have a lot of fun in the process, this is the book for you!

 

First the web site,

now the book!


Mr. Rogers Home | Common Sylabus | AP Comp Sci I | AP Comp Sci II | AP Physics Mech | AP Physics E&M | AP Statistics | IB Design Tech | Southside

[ Intuitor Home | Physics | Movie Physics | Chess | Forchess | Hex | Intuitor Store |

Copyright © 1996-2009 T. K. Rogers, all rights reserved. Forchess ® is a registered trademark of T. K. Rogers.
No part of this website may be reproduced in any form, electronic or otherwise, without express written approval.