Statistics Unit 11

Big Idea:

Two Sample Inference

Student Expectations:

Focus Standards

II. Anticipating Patterns: Exploring random phenomena using probability and Simulation.

D. Sampling distributions

4. Sampling distribution of a difference between two independent sample proportions

5. Sampling distribution of a difference between two independent sample means

IV. Statistical Inference: Estimating population parameters and testing hypotheses.

A. Estimation (point estimators and confidence intervals)

5. Large sample confidence interval for a difference between two proportions

7. Confidence interval for a difference between two means (unpaired and paired)

IV. Statistical Inference: Estimating population parameters and testing hypotheses.

B. Tests of significance

3. Large sample test for a difference between two proportions

5. Test for a difference between two means (unpaired and paired)

Ongoing Standards

II. Anticipating Patterns: Exploring random phenomena using probability and Simulation.

D. Sampling distributions

1. Sampling distribution of a sample proportion

2. Sampling distribution of a sample mean

3. Central Limit Theorem

6. Simulation of sampling distributions

7. T-distribution

IV. Statistical Inference: Estimating population parameters and testing hypotheses.

A. Estimation (point estimators and confidence intervals)

1. Estimating population parameters and margins of error

2. Properties of point estimators, including unbiasedness and variability

3. Logic of confidence intervals, meaning of confidence level and confidence intervals, and properties of confidence intervals

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

Student Learning Targets:

• I will describe sampling distribution for difference of proportions and difference of means
• I will calculate probabilities using sampling distribution of difference in proportions and difference in means
• I will determine whether or not conditions for inference have been met
• I will construct and interpret confidence interval to compare two proportions or two means
• I will perform a significance test to compare two proportions or two means

Essential Questions:

• What do confidence intervals reveal about the data when used for comparing two proportions or two means?
• When are hypothesis tests used to compare two proportions or two means?
• What is pooling?
• What is paired data?

Extra Information:

Adopted Textbook:

District Grading Policy

Texas Gateway Online Resource Center