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secol the opposite sig for the rejection rule, to three decimal places, ar test statistic < 4.004 test statistic 2 -2.002

secol the opposite sig for the rejection rule, to three decimal places, ar test statistic < 4.004 test statistic 2 -2.002

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Step 8 This is a two-tailed test, so we are concerned about the critical values that give a total area of 0.05 in both the upper and lower tails. Therefore, each tail will have an area equal to half of 0.05, or 0.025. Any test statistic greater than or equal to the positive critical value or less than or equal to the negative critical value will result in the null hypothesis being rejected. An excerpt of the t table with 57 degrees of freedom is given below. Area in Upper Tail Degrees of Freedom 0.20 0.10 0.05 0.025 0.01 0.005 57 0.848 1.297 1.672 2.002 2.394 2.665 Move along the row for 57 degrees of freedom until reaching the column corresponding to an upper tail area of 0.025. This value of t will be the positive critical value. Find this value, rounding the results to three decimal places. t = 2.002 The second critical value will be the opposite sign of the positive one just found. Therefore, the critical values for the rejection rule, to three decimal places, are as follows. test statistic < 4.004 test statistic > -2.002 Submit Skip (you cannot come back)
Transcribed Image Text:Step 8 This is a two-tailed test, so we are concerned about the critical values that give a total area of 0.05 in both the upper and lower tails. Therefore, each tail will have an area equal to half of 0.05, or 0.025. Any test statistic greater than or equal to the positive critical value or less than or equal to the negative critical value will result in the null hypothesis being rejected. An excerpt of the t table with 57 degrees of freedom is given below. Area in Upper Tail Degrees of Freedom 0.20 0.10 0.05 0.025 0.01 0.005 57 0.848 1.297 1.672 2.002 2.394 2.665 Move along the row for 57 degrees of freedom until reaching the column corresponding to an upper tail area of 0.025. This value of t will be the positive critical value. Find this value, rounding the results to three decimal places. t = 2.002 The second critical value will be the opposite sign of the positive one just found. Therefore, the critical values for the rejection rule, to three decimal places, are as follows. test statistic < 4.004 test statistic > -2.002 Submit Skip (you cannot come back)
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