Chapter10

# Chapter10 - ChapterTen One-Sample Tests of Hypothesis 10- 1...

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10- 1 Chapter Ten One-Sample Tests of Hypothesis One-Sample Tests of Hypothesis GOALS When you have completed this chapter, you will be able to: ONE Define a hypothesis and hypothesis testing. TWO Describe the five step hypothesis testing procedure. THREE Distinguish between a one-tailed and a two-tailed test of hypothesis. FOUR Conduct a test of hypothesis about a population mean.

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10- 2 Chapter Ten   continued GOALS When you have completed this chapter, you will be able to: FIVE Conduct a test of hypothesis about a population proportion. SIX Define Type I and Type II errors. One-Sample Tests of Hypothesis One-Sample Tests of Hypothesis
10- 3 What is a Hypothesis? What is a Hypothesis? Twenty percent of all customers at Bovine’s Chop House return for another meal within a month. What is a What is a Hypothesis? Hypothesis? A statement about the value of a population parameter developed for the purpose of testing. The mean monthly income for systems analysts is \$6,325.

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10- 4 What is Hypothesis Testing? What is Hypothesis Testing? Hypothesis testing Hypothesis testing Based on sample evidence and probability theory Used to determine whether the hypothesis is a reasonable statement and should not be rejected, or is unreasonable and should be rejected
10- 5 Hypothesis Testing Hypothesis Testing D o n o t r e j e c t n u l l R e j e c t n u l l a n d a c c e p t a l t e r n a t e S t e p 5 : T a k e a s a m p l e , a r r i v e a t a d e c i s i o n S t e p 4 : F o r m u l a t e a d e c i s i o n r u l e S t e p 3 : I d e n t i f y t h e t e s t s t a t i s t i c S t e p 2 : S e l e c t a l e v e l o f s i g n i f i c a n c e S t e p 1 : S t a t e n u l l a n d a l t e r n a t e h y p o t h e s e s

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10- 6 Alternative Hypothesis H 1 : A statement that is accepted if the sample data provide evidence that the null hypothesis is false Null Hypothesis H 0 A statement about the value of a population parameter Step One: State the null and alternate hypotheses Step One: State the null and alternate hypotheses
10- 7 Three possibilities regarding means H 0 : μ = 0 H 1 : μ = 0 H 0 : μ < 0 H 1 : μ > 0 H 0 : μ > 0 H 1 : μ < 0 Step One: State the null and alternate Step One: State the null and alternate hypotheses hypotheses The null hypothesis always contains equality. 3 hypotheses about means

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10- 8 Step Two: Select a Level of Step Two: Select a Level of Significance. Significance. The probability of rejecting the null hypothesis when it is actually true; the level of risk in so doing. Rejecting the null hypothesis when it is actually true (α29. Accepting the null hypothesis when it is actually false (β29. Level of Significance Level of Significance Type I Error Type I Error Type II Error Type II Error
10- 9 Step Two: Select a Level of Significance. Step Two: Select a Level of Significance. Researcher

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## Chapter10 - ChapterTen One-Sample Tests of Hypothesis 10- 1...

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