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A. Complete the table below for the summary of critical values and draw its respective rejection region. Level of Significance Two – Tailed Test One Tailed Test Left – Tailed Test: 8% or a = 0.08 Right – Tailed Test: Left – Tailed Test: 4% or a = 0.04 Right – Tailed Test:

A. Complete the table below for the summary of critical values and draw its respective rejection region. Level of Significance Two – Tailed Test One Tailed Test Left – Tailed Test: 8% or a = 0.08 Right – Tailed Test: Left – Tailed Test: 4% or a = 0.04 Right – Tailed Test:

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 4GP
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Please also provide the drawing of curve/rejection region for each item as shown on the examples. Thanks.  

EXAMPLE 1. Find the critical value and rejection region for a left – 2. Find the critical values and rejection regions for a two- tailed test with significance level of 1% or a = 0.01. tailed test with a = 0.05 Since the test is left – tailed, then the critical value (za) Since the test is two – tailed test, the critical region corresponds to an area of 0.01. 1 corresponds to -a = 0.025 and 1 1 -a = 0.975. 2 Using the z- table, identify an area as close as possible to the given area. This area falls between z = -2.32 and z=- 2.33. We get the critical value for a = 0.01 by getting the areas 0.025 and 0.975 are -1.96 and 1.96, respectively. So, Using the z – table, the z- scores that correspond to the - 2.32 + -2.33 the critical values are zo = -1.96 and zo=1.96. mean of the two z values: z. -2.325. The rejection regions are to the left of -1.96 and to the right of 1.96. 2 Thus, the critical value is zo = -2.325 or -2.33. = 0.025 a = 0.975 a = 0.01 2, =-2.33 2, = -1.96 2, =1.96 АСTIVITY A. Complete the table below for the summary of critical values and draw its respective rejection region. Level of Significance Two – Tailed Test One Tailed Test Left – Tailed Test: 8% or a = 0.08 Right – Tailed Test: Left – Tailed Test: Right – Tailed Test: 4% or a = 0.04
Transcribed Image Text:EXAMPLE 1. Find the critical value and rejection region for a left – 2. Find the critical values and rejection regions for a two- tailed test with significance level of 1% or a = 0.01. tailed test with a = 0.05 Since the test is left – tailed, then the critical value (za) Since the test is two – tailed test, the critical region corresponds to an area of 0.01. 1 corresponds to -a = 0.025 and 1 1 -a = 0.975. 2 Using the z- table, identify an area as close as possible to the given area. This area falls between z = -2.32 and z=- 2.33. We get the critical value for a = 0.01 by getting the areas 0.025 and 0.975 are -1.96 and 1.96, respectively. So, Using the z – table, the z- scores that correspond to the - 2.32 + -2.33 the critical values are zo = -1.96 and zo=1.96. mean of the two z values: z. -2.325. The rejection regions are to the left of -1.96 and to the right of 1.96. 2 Thus, the critical value is zo = -2.325 or -2.33. = 0.025 a = 0.975 a = 0.01 2, =-2.33 2, = -1.96 2, =1.96 АСTIVITY A. Complete the table below for the summary of critical values and draw its respective rejection region. Level of Significance Two – Tailed Test One Tailed Test Left – Tailed Test: 8% or a = 0.08 Right – Tailed Test: Left – Tailed Test: Right – Tailed Test: 4% or a = 0.04
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