Chap. 22 - Lecture Notes - SC

Chap. 22 - Lecture Notes - SC - Chapter 22 Tests of...

Info iconThis preview shows pages 1–10. Sign up to view the full content.

View Full Document Right Arrow Icon
Chapter 22 Tests of Significance
Background image of page 1

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

View Full DocumentRight Arrow Icon
Significance Tests Statistical inference uses data from a sample to draw conclusions about a population. We saw one method of doing this previously with Statistical tests ask if sample data give good evidence a claim. Example: I claimed that I had a standard card deck, you believe there is evidence against my claim based on the sample of cards you took.
Background image of page 2
Reasoning Statistical tests use the reasoning that: An outcome that is very unlikely if a claim is true is good evidence that the claim is not true. Another Example: If someone claims to make 80% of their free throws in basketball, and then only makes 6 out of 20, you may start to question whether his claim of 80% is true!
Background image of page 3

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

View Full DocumentRight Arrow Icon
Hypothesis Tests Statistical Tests are also known as We want to test a hypothesis (statement) about the value of a Statistical Hypotheses:
Background image of page 4
Hypothesis Tests A checks sample data against a claim or assumption about the population. The claim or assumption being tested is called the Example: The statement we hope or suspect is true instead of H 0 is called the Example:
Background image of page 5

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

View Full DocumentRight Arrow Icon
Hypothesis Tests A looks for evidence against the null hypothesis and in favor of the alternative hypothesis. If the , we stop assuming the null hypothesis and find in favor of the alternative hypothesis. If the , we continue to assume the null hypothesis. At the end of a hypothesis test we either have
Background image of page 6
Hypotheses The alternative hypothesis (H a ) can take three forms based on what we want to prove is true. (# is often denoted p o ) One-sided alternative: Two-sided alternative:
Background image of page 7

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

View Full DocumentRight Arrow Icon
Consider the Deck of Cards Let p = We assumed half the cards are red: But we suspect the alternative: The sample evidence is
Background image of page 8
We conduct a hypothesis test under the assumption that H 0 is true and the claim we believe, H a
Background image of page 9

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

View Full DocumentRight Arrow Icon
Image of page 10
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 06/14/2011 for the course STAT 110 taught by Professor Johnson during the Spring '07 term at South Carolina.

Page1 / 25

Chap. 22 - Lecture Notes - SC - Chapter 22 Tests of...

This preview shows document pages 1 - 10. Sign up to view the full document.

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