Determine (a) the χ2 test statistic, (b) test 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 Observed Expected A 18 20 B 18 20 C 22 20 D 22 20 |
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H0:Pa=Pb=Pc=Pd=1/4
H1: at least one of the proportions is different from the others.
(a)test statistics is 0.8
(b) There are 3 degrees of freedom
(c) The critical value is X ??
(round three decimal places as needed)
Please assist me in answering the critical value.
Solution :
Given that ,
degrees of freedom = 3
P(3 > 7.815) = 0.05
Critical value = 7.815
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