Using the Chi-Square Table, find the critical value(s) for each.
1. α a = 0.05, n = 16, two-tailed test
2. α = 0.10, n = 8, left-tailed test
3. α = 0.01, n = 22, right-tailed test
4. α = 0.025, n = 30, left-tailed test
5. α = 0.05, n = 12, right-tailed test
6. α = 0.10, n = 27, two-tailed test
1. α a = 0.05, n = 16, two-tailed test
2. α = 0.10, n = 8, left-tailed test
3. α = 0.01, n = 22, right-tailed test
4. α = 0.025, n = 30, left-tailed test
5. α = 0.05, n = 12, right-tailed test
6. α = 0.10, n = 27, two-tailed test
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Answer:
To find the critical value(s) using the Chi-Square Table, we need to consider the degrees of freedom (df) and the significance level (α). The degrees of freedom for a Chi-Square test is determined by the sample size minus 1 (df = n - 1).
1. α = 0.05, n = 16, two-tailed test:
Degrees of freedom (df) = 16 - 1 = 15
Looking up α/2 = 0.025 in the Chi-Square Table for df = 15, the critical value is approximately 26.296.
2. α = 0.10, n = 8, left-tailed test:
Degrees of freedom (df) = 8 - 1 = 7
Looking up α = 0.10 in the Chi-Square Table for df = 7, the critical value is approximately 11.143.
3. α = 0.01, n = 22, right-tailed test:
Degrees of freedom (df) = 22 - 1 = 21
Looking up α = 0.01 in the Chi-Square Table for df = 21, the critical value is approximately 36.420.
4. α = 0.025, n = 30, left-tailed test:
Degrees of freedom (df) = 30 - 1 = 29
Looking up α = 0.025 in the Chi-Square Table for df = 29, the critical value is approximately 42.557.
5. α = 0.05, n = 12, right-tailed test:
Degrees of freedom (df) = 12 - 1 = 11
Looking up α = 0.05 in the Chi-Square Table for df = 11, the critical value is approximately 21.920.
6. α = 0.10, n = 27, two-tailed test:
Degrees of freedom (df) = 27 - 1 = 26
Looking up α/2 = 0.05 in the Chi-Square Table for df = 26, the critical value is approximately 39.364.
Explanation:
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