{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# Lecture25 - ECO220Y Lecture25 Hypothesis Testing(2 Migiwa...

This preview shows pages 1–6. Sign up to view the full content.

ECO220Y Lecture25 Hypothesis Testing (2) Migiwa Tanaka Reading: 11.2 (pp 349-352) 1

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Outline Testing population mean when the population variance is known Two Approaches to Hypothesis Testing Rejection Region Method p-value Method One tail vs two tail Test One-tail vs. two-tail Test Calculating the probability of a type II error 2
Statistical Inference: Inference of population mean μ when σ is known .4 Population 1 Sampling Distribution Theory: S l M σ is 2 .3 .6 .8 Sample Mean n i X X 1 ? ? known .1 . .2 .4 i n 1 ? 0 A Sample, n=50 0 μ A μ B μ C Sampling .1 .15 ty The calculated (realized) sample mean: .05 . Densit n i x n x 1 3 0 i 1

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Basic Intuition of Hypothesis Testing Consider one-tailed tests in this lecture. Suppose we hypothesized that true population mean is 19 Suppose we hypothesized that true population mean is 19. H 0 : µൌ19 H 1 : µ൐19 Scenario 1: We took a sample and obtained the sample mean =100. Very far away from the hypothesized value=19. x Reject null hypothesis in favor of alternative. Scenario 2: We take a sample and obtained the sample mean =21 Very close to hypothesized value=19. x Very close to hypothesized value 19. Do not reject null hypothesis. How can we judge the calculated sample mean is far away or close to hypothesized one? to hypothesized one? 21 19 100 4
Procedure of Hypothesis Testing Step 1: Construction of null hypothesis – presumption b l i (di ib i ) d about population parameter (distribution)– and alternative Step 2: Collect a sample Step 3: Consider that the null hypothesis is true. Is the sample obtained plausible if the null is true?

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 17

Lecture25 - ECO220Y Lecture25 Hypothesis Testing(2 Migiwa...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online