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Unit 8

Unit 8. Section 8 -2 – Day 2. 8-2: Finding Critical Values for the z-test. Critical Value – separates the critical region from the noncritical region. The symbol for critical value is C.V.

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Unit 8

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  1. Unit 8 Section 8-2 – Day 2

  2. 8-2: Finding Critical Values for the z-test. • Critical Value – separates the critical region from the noncritical region. • The symbol for critical value is C.V. • Will be on the left or right side of the mean for a one-tailed test and on both sides of the mean for a two-tailed test.

  3. Section 8-2 • The critical or rejection region is the range of values of the test value that indicates that there is a significant difference and that the null hypothesis should be rejected. • The noncriticalor nonrejectionregion is the range of values of the test value that indicates that the difference was probably due to chance and that the null hypothesis should not be rejected.

  4. Section 8-2 Steps for Finding the Critical Values for Specificα Values. • Draw a diagram to represent the appropriate area. • For a one-tailed test, subtract the area (α) from 0.500. For a two-tailed test, divide the area by 2 and then subtract from 0.500. • Find the area on the table (Table E pg. 770) corresponding to the value you found. • Find the z-value. This is our critical value. • Determine the sign of the critical value. • Left-tailed tests will be negative • Right-tailed tests will be positive. • Two-tailed tests will have one negative and one positive value.

  5. Section 8-2 • Example 1: Using table E in appendix C, find the critical values for each situation. Draw the appropriate figure showing the critical region. a) a left-tailed test with α = 0.10 b) a two-tailed test with α = 0.02 c) a right-tailed test with α = 0.005

  6. Section 8-2 The Five Steps in Hypothesis Testing • State the hypothesis. • State null and alternative hypotheses. • Design the study. • Select the correct statistical test • Choose a level of significance. • Formulate a plan to carry out study. • Conduct the study and collect data. • Evaluate the data. • Data is tabulated. • Statistical test is conducted. • Reject/not reject the null hypothesis. • Summarize the results.

  7. Section 8-2 Homework: • Pg 404: #’s 11 -13

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