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There are two statistical tests for mean: 1) z test – Used for large samples (n ≥ 30) 1) t test – Used for small samples (n < 30)
Test Value = (Observed Value) – (Expected Value) Standard Error * The observed value is the statistic that is computed from the sample data. ** The expected value is the “hypothesized value.”
t.v.= ( X – µ ) X = ( σ / √n ) Sample mean µ =Hypothesized Value σ =Standard Deviation n =Sample Size
1)State the null and alternative hypotheses 2)Find the critical value(s) 3)Compute the test value 4)Make the decision to either “reject the null” or “not reject the null”
Jump to first page HYPOTHESIS TESTING The use of sample data to make a decision either to accept or to reject a statement about a parameter value or about.
Lec. 19 – Hypothesis Testing: The Null and Types of Error.
Introduction to Hypothesis Testing. Definition Hypothesis in statistics, is a claim or statement about a property of a population.
Hypothesis Testing Steps of a Statistical Significance Test. 1. Assumptions Type of data, form of population, method of sampling, sample size.
Claims about a Population Mean when σ is Known Objective: test a claim.
Inferential Statistics Body of statistical computations relevant to making inferences from findings based on sample observations to some larger population.
Practice You recently finished giving 5 Villanova students the MMPI paranoia measure. Determine if Villanova students’ paranoia score is significantly.
Our goal is to assess the evidence provided by the data in favor of some claim about the population. Section 6.2Tests of Significance.
Major Steps. 1.State the hypotheses. Be sure to state both the null hypothesis and the alternative hypothesis, and identify which is the claim. H0H0.
New FOCUS or OBSERVATION Critical Thinking Cyclic Model: QUESTION or HYPOTHESIS CONTENT ANYALYSIS and DELIBERATION scrutinize data using most rigorous.
Introduction to Hypothesis Testing. What is a Hypothesis Test? A hypothesis test is a statistical method that uses sample data to evaluate a hypothesis.
Hypothesis Testing Errors. Hypothesis Testing Suppose we believe the average systolic blood pressure of healthy adults is normally distributed with mean.
Hypothesis Testing Steps for the Rejection Region Method State H 1 and State H 0 State the Test Statistic and its sampling distribution (normal or t) Determine.
Chapter 9 Introduction to the t-statistic PSY295 Spring 2003 Summerfelt.
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Aim: What is the P-value method for hypothesis testing? Quiz Friday.
How Big Should Sample Size be? Example We have data y=(y 1,…,y N ), where y~N(μ,σ 2 ) We want to test H 0 : μ=θ vs H 1 : μ θ –Chosen significance level=α=0.01.
ECON 338/ENVR 305 CLICKER QUESTIONS Statistics – Question Set #5 (from Chapter8)
Formulating the Hypothesis null hypothesis 4 The null hypothesis is a statement about the population value that will be tested. null hypothesis 4 The null.
Hypothesis test with t – Exercise 1 Step 1: State the hypotheses H 0 : = 50H 1 = 50 Step 2: Locate critical region 2 tail test, =.05, df = =24.
Hypothesis Testing with Two Samples Chapter 8. § 8.1 Testing the Difference Between Means (Large Independent Samples)
Unit 8 Section : z Test for a Mean Many hypotheses are tested using the generalized statistical formula: Test value = (Observed Value)-(expected.
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Using t-tests Basic introduction and 1-sample t-tests Statistics for the Social Sciences Psychology 340 Spring 2010.
1 Power and Sample Size in Testing One Mean. 2 Type I & Type II Error Type I Error: reject the null hypothesis when it is true. The probability of a Type.
The t Test for Two Independent Samples. What Does a t Test for Independent Samples Mean? We will look at difference scores between two samples. We will.
Chapter 9: Hypothesis Tests for One Population Mean 9.2 Terms, Errors, and Hypotheses.
State the null and alternative hypotheses. A company claims the mean lifetime of its AA batteries is more than 16 hours. A. H 0 : μ > 16 H a : μ ≤ 16 B.
Week 81 Hypothesis Testing – Introduction Hypothesis: A conjecture about the distribution of some random variables. A hypothesis can be simple or composite.
Z Test & T Test PRESENTED BY : GROUP 1 MD SHAHIDUR RAHMANROLL# 003 MD AMINUL ISLAMROLL# 007 MRS ROZINA KHANAMROLL# 038.
Statistics and Numerical Method Part I: Statistics Week IV: Decision Making (1 sample) 1/2555 สมศักดิ์ ศิวดำรงพงศ์ 1.
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Topics Today: Case I: t-test single mean: Does a particular sample belong to a hypothesized population? Thursday: Case II: t-test independent means: Are.
HYPOTHESIS TESTING. Purpose The purpose of hypothesis testing is to help the researcher or administrator in reaching a decision concerning a population.
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Sample size and statistical power ดร. อรพิน กฤษณเกรียงไกร ดร. อรพิน กฤษณเกรียงไกรคณะสาธารณสุขศาสตร์มหาวิทยาลัยนเรศวร.
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Today: Hypothesis testing. Example: Am I Cheating? If each of you pick a card from the four, and I make a guess of the card that you picked. What proportion.
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Chapter 9 Part C. III. One-Tailed Tests B. P-values Using p-values is another approach to conducting a hypothesis test, yielding the same result. In general:
Statistics. A survey of 430 randomly chosen adults found that 21% of the 222 men and 18% of the 208 women purchased books online. Is there evidence.
STEP BY STEP Critical Value Approach to Hypothesis Testing 1- State H o and H 1 2- Choose level of significance, α Choose the sample size, n 3- Determine.
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McGraw-Hill/Irwin Business Research Methods, 10eCopyright © 2008 by The McGraw-Hill Companies, Inc. All Rights Reserved. Chapter 17 Hypothesis Testing.
1 Chapter 9: Introduction to the t statistic. 2 The t Statistic The t statistic allows researchers to use sample data to test hypotheses about an unknown.
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