Determine​ (a) the χ2 test​ statistic, (b) the degrees of​ freedom, (c) the critical value using α=0.05​, and​ (d) test the hypothesis at the α=0.05 level of significance.   outcome  A    B      C       D observed 55   48  46     51 expected 50   50  50      50     H0​: pA=pB=pC=pD=1/4 H1​: At least one of the proportions is different from the others.   ​(a) The test statistic is _____? ​(Type an exact​ answer.)   ​(b) There are _____ degrees of freedom?   c) The critical value is _______?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Determine​ (a) the χ2 test​ statistic, (b) the degrees of​ freedom, (c) the critical value using α=0.05​, and​ (d) test the hypothesis at the α=0.05 level of significance.
 
outcome  A    B      C       D
observed 55   48  46     51
expected 50   50  50      50
 
 
H0​: pA=pB=pC=pD=1/4
H1​: At least one of the proportions is different from the others.
 
​(a) The test statistic is _____?
​(Type an exact​ answer.)
 
​(b) There are _____ degrees of freedom?
 
c) The critical value is _______?
(Round to three decimal places as​ needed.)
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