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215 Handout_9(chap 12)

# 215 Handout_9(chap 12) - Handout#9 Hypothesis Testing About...

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Handout #9: Hypothesis Testing About Proportions STA215: Introductory Applied Statistics Dr. Jann-Huei Jinn The Probability-Value ( p-value ) Hypothesis Test : A Five-Step Procedure Step 1 The Set-up : (a) Describe the population Parameter of interest (e.g. μ or P) (b) State the null hypothesis ( o H ) and alternative hypothesis ( a H ). Example 12.1, 12.2, (Exercise 12.2, 12.3, 12.8, 12.9, 12.10, 12.11) Step 2 The Hypothesis Test Criteria : (a) Check the assumptions (b) Determine the level of significance , α . Step 3 The Sample Evidence : Calculate the value of the test statistic and find its p-value . Step 4 The P-value and Decision Rule : Decision Rule : If p-value α , reject the null hypothesis o H . (the test is ‘statistically significant ‘). Exercise 12.20, 12.26 Step 5 Report a conclusion in the context of the situation. Exercise 12.22, Type I and Type II Errors : Null Hypothesis Decision True False Reject o H Type I error Correct Accept o H Correct Type II error Type I Error : If we reject the null hypothesis when it is true.

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