For a goodness-of-fit test with α=0.10 and 5 categories, what is the critical χ2 value?

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Coupewopmergorlpt · Accepted Answer

Obtaining the critical value for chi-square test:
Here, the level of significance for the test is, α=0.10 and the degrees of freedom is 4 (number of categories –1).
Critical value for left tailed test:
The critical value for a left tailed chi-square test at

α = 0.10

is obtained using the EXCEL formula, “=CHISQ.INV (0.10, 4)”.
From Excel, the critical value is 1.0636.
Thus, the critical value for the left tailed chi-square test is 1.0636.
Critical value for right tailed test:
The critical value for a right tailed chi-square test at

α = 0.10

is obtained using the EXCEL formula, “=CHISQ.INV.RT (0.10, 4)”.
From Excel, the critical value is 7.7794.
Thus, the critical value for the right tailed chi-square test is 7.7794.
Critical value for two tailed test:
The critical value for a two tailed chi-square test at

α = 0.10

is obtained using the EXCEL formula, “=CHISQ.INV (0.95, 4)”.
From Excel, the critical value is 9.4877.
Thus, the critical value for the two tailed chi-square test is 9.4877.
Answer:
The critical value for the left tailed chi-square test is 1.0636.
The critical value for the right tailed chi-square test is 7.7794.
The critical value for the two tailed chi-square test is 9.4877.

For a goodness-of-fit test with \(\displaystyle\alpha={0.10}\) and

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