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.

  2. Create a large sample confidence level for a proportion (p.665).

  3. Perform a hypothesis test comparing a large sample proportion (p-hat) against a know population proportion (p).

Homefun:  -- 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. 670).

  2. Create a confidence interval for comparing two sample proportions (p.681).

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

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

  5. Perform a hypothesis test for comparing two sample proportions (p. 684).

 

Homefun: 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?

 

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