MSci_609_Inference_using_Hypothesis_test

MSci_609_Inference_using_Hypothesis_test - 2/5/2011 TESTS...

Info iconThis preview shows pages 1–7. Sign up to view the full content.

View Full Document Right Arrow Icon
2/5/2011 1 TESTS OF HYPOTHESIS 1/2 INSTRUCTOR: AMER OBEIDI Statistical Methods 2 Et i t i Hypothesis Inferential Statistics Descriptive Statistics Estimation Testing Interval Estimation Point Estimation
Background image of page 1

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

View Full DocumentRight Arrow Icon
2/5/2011 2 A belief about a population I believe the mean GPA of this 3 parameter Parameter is population mean, proportion, variance, or any statistic Must be stated before analysis class is 3.8! . I believe the population mean age is 50 (hypothesis). Reject hypothesis! Not 4 Population hypothesis! Not close. Mean X = 20 Random sample
Background image of page 2
2/5/2011 3 In any hypothesis testing there are two hypotheses (exactly one of which must be true). 5 1. Null hypothesis H o , the status quo, is not rejected until proven incorrect. Equality is always part of H 0 (e.g. “=” , “ ” , “ ”). 2. Alternate hypothesis H a , represents what we wish to prove or establish. “<” and “>” always part of H 1 The aim of the hypothesis test, is to determine whether in fact H o can be falsified , and consequently that H a can be accepted. Hence, the null hypothesis is the statement being tested, and we need specific value to include in our calculations. We turn to H a only if the data suggests that H 0 is false. 1. Is what we test 2 Has serious outcome if incorrect decision mad 6 2. Has serious outcome if incorrect decision made 3. Most often has equality sign in the relationship operator: , , or 4. Designated H 0 (pronounced H-oh) 5. Specified as H 0 : population parameter some numeric value Specified with = sign even if or
Background image of page 3

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

View Full DocumentRight Arrow Icon
2/5/2011 4 1. Opposite of null hypothesis Has inequality sign   or 7 2. Has inequality sign: , , or 3. Designated H a 4. Specified H a :   , , or some value Example problem: Test that the population mean is not 3 8 Steps: State the question statistically (  3) State the opposite statistically ( = 3) Notice here that both are mutually exclusive Select the alternative hypothesis ( 3) Has the , < , or > sign State the null hypothesis ( = 3)
Background image of page 4
2/5/2011 5 Example problem: Is the population average amount of TV viewing 12 hours? 9 State the question statistically: = 12 State the opposite statistically:  12 Select the alternative hypothesis: H a : 12 State the null hypothesis: H 0 : = 12 Example problem: Is the population average amount of TV viewing different from 12 hours? 10 State the question statistically: 12 State the opposite statistically: = 12 Select the alternative hypothesis: H a : 12 State the null hypothesis: H 0 : = 12
Background image of page 5

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

View Full DocumentRight Arrow Icon
2/5/2011 6 Example problem: Is the average cost per hat less than or equal to $20? 11 State the question statistically:  20 State the opposite statistically:  20 Select the alternative hypothesis: H a : 20 State the null hypothesis: H 0 :   20 Example problem: Is the average amount spent in the bookstore greater than $25?
Background image of page 6
Image of page 7
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 01/12/2012 for the course MSCI 609 taught by Professor Almehdawe,eman during the Fall '10 term at Waterloo.

Page1 / 40

MSci_609_Inference_using_Hypothesis_test - 2/5/2011 TESTS...

This preview shows document pages 1 - 7. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online