8.1

416 views
367 views

Published on

0 Comments
1 Like
Statistics
Notes
  • Be the first to comment

No Downloads
Views
Total views
416
On SlideShare
0
From Embeds
0
Number of Embeds
146
Actions
Shares
0
Downloads
11
Comments
0
Likes
1
Embeds 0
No embeds

No notes for slide

8.1

  1. 1. 8.1 INTRODUCTION TO STATISTICAL TESTS CHAPTER 8: HYPOTHESIS TESTING
  2. 2. Page 411 INFERENTIAL STATISTICS• Inferential statistics involves methods of using information from a sample to draw conclusions regarding the population. • Most statistical inference centers around the parameters of a population (usually the mean or probability of success in a binomial trial) • In Chapter 7, we focused on estimating the value of the parameter • In this chapter, we will focus on decisions concerning the value of a parameter and hypothesis testing • To introduce statistical tests, we will discuss the mean, however the methods apply to other parameters as well
  3. 3. Page 411 STATING HYPOTHESES•
  4. 4. Page 412 STATING HYPOTHESES•
  5. 5. Page 411EXAMPLE 1:NULL AND ALTERNATE HYPOTHESES•
  6. 6. Page 412 TYPES OF TESTS • We categorize a statistical test according to the alternate hypothesisTable 8-1The Null and Alternate Hypotheses for Tests of the Mean 
  7. 7. Page 413 IMPORTANT VOCABULARY FOR HYPOTHESIS TESTS•
  8. 8. Page 413 BASIC PROCESS OF HYPOTHESIS TESTS1. State the null and alternate hypotheses2. Take a simple random sample and compute a sample test statistic3. Use the sampling distribution of the test statistic and the type of test to compute the P-value4. Conclude the test5. Interpret the results
  9. 9. Page 415 P – VALUE•
  10. 10. P – VALUE AND TYPES OF TESTS•Page 415
  11. 11. TYPES OF ERRORS Page 416• Type I and Type II Errors Table 8-2
  12. 12. TYPES OF ERRORS• For tests of hypotheses to be well constructed, they must be designed to minimize possible errors of decision. (Usually, we do not know if an error has been made, and therefore, we can talk only about the probability of making an error.)
  13. 13. TYPES OF ERRORS•
  14. 14. TYPES OF ERRORS• Summary of the probabilities or errors associated with a statistical test Probabilities Associated with a Statistical Test Table 8-3
  15. 15. Page 418CONCLUDING A STATISTICAL TEST•
  16. 16. Page 420 CONCLUDING A STATISTICAL TEST• Meaning of the Terms Fail to Reject H0 and Reject H0 Table 8-4
  17. 17. Page 413EXAMPLE 2:STATISTICAL TESTING PREVIEW•
  18. 18. SOLUTION•

×