Math 1025 - Lesson Plan Chapter 7v2

# Math 1025 - Lesson Plan Chapter 7v2 - Chapter 7 Hypothesis...

This preview shows pages 1–3. Sign up to view the full content.

Chapter 7 - Hypothesis Testing with One Sample Section 7.1 - Introduction to Hypothesis Testing Objectives State a null hypothesis and an alternative hypothesis Identify type I and type I errors and interpret the level of significance Determine whether to use a one-tailed or two-tailed statistical test and find a p -value Make and interpret a decision based on the results of a statistical test Write a claim for a hypothesis test Hypothesis test - A process that uses sample statistics to test a claim about the value of a population parameter. Statistical hypothesis - A statement, or claim, about a population parameter. Need a pair of hypotheses: * one that represents the claim * the other, its complement When one of these hypotheses is false, the other must be true . Null hypothesis A statistical hypothesis that contains a statement of equality such as , =, or . Denoted H 0 read “H subzero” or “H naught.” {H 0 contains equal sign}. Alternative hypothesis A statement of inequality such as >, , or <. Must be true if H 0 is false. Denoted H a read “H sub-a.” H 0 and H a are complementary Statements. Stating a Hypothesis To write the null and alternative hypotheses, translate the claim made about the population parameter from a verbal statement to a mathematical statement. Then write its complement. Always assume μ =k and then look at the sampling distribution based on this assumption. 3 ways to state Hypothesis: H 0 : μ≥k H 0 : μk H 0 : μ=k H a : μ<k H a : μ>k H a : μ≠k Try It Yourself 1 - (p. 366) Write the claim as a mathematical sentence. State H 0 and H a , and identify which represents the claim. (1) A consumer analyst reports that the mean life of a certain type of automobile battery is not 74 months. (2) A television manufacturer publishes that the variance of the life of a certain type of television is less than or equal to 3.5. #26. p. 376 {A research organization reports that 28% of the residents in Ann Arbor, MI are college students.} (3) A radio station publicizes that its proportion of the local listening audience is greater than 39%.

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

View Full Document
a. Identify the verbal claim and write it as a mathematical statement. b. Write the complement of the claim. c. Identify H 0 and H a and determine which one represents the claim. Types of Errors No matter which hypothesis represents the claim, always begin the hypothesis test assuming that the equality condition in the null hypothesis is true. At the end of the hypothesis testing, you make 1 of 2 Decisions about the null hypothesis: (1) Reject H 0 OR (2) Fail to reject H 0 Since hypothesis testing is based on Sample data, there is always a chance of making the wrong decision. Actual Truth about H 0 Decision H 0 is True H 0 is False Fail to Reject H 0 Correct Decision Type II Error Reject H 0 Type I Error Correct Decision Type I Error - If H 0 is Rejected when it is TRUE.
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern