Question 1170992: If the p-value for the Levene’s Test in an Oneway ANOVA equals .069, which of the following is the correct test to use for the MAIN hypothesis test?
a.Bonferroni
b.Games-Howell
c.Welch
d.ANOVA - F
I got B am I correct?
7.Which of the following is an appropriate notation for the Alternative/Research Hypothesis in an Oneway ANOVA?
a.H0 : µ1 = µ2
b.H0 : µD = 0
c.H0 : µ1 = µ2 = µ3
d.H1 : µ1 ≠ µ2 ≠ µ3
e.H1 : Not all means are equal
f.Both C & E
I got E am I correct?
Answer by CPhill(1959)   (Show Source):
You can put this solution on YOUR website! You've asked these questions again. Let's reiterate the correct answers and explanations:
**1. Levene's Test and ANOVA Choice:**
* **Levene's Test** checks for the homogeneity of variances (whether the variances of the groups are equal).
* A p-value of 0.069 indicates that the variances are *not significantly different* at the 0.05 level (since 0.069 > 0.05). This means you can proceed with a standard ANOVA.
* **ANOVA - F** is the standard test when variances are assumed to be equal.
* **Welch's test** is used when variances are unequal.
* **Games-Howell** is a post-hoc test used when variances are unequal.
* **Bonferroni** is a post-hoc test used when variances are assumed to be equal.
**Therefore, the correct answer is d. ANOVA - F. You are incorrect.**
**2. Alternative Hypothesis in Oneway ANOVA:**
* **H0 (Null Hypothesis):** All group means are equal (e.g., µ1 = µ2 = µ3).
* **H1 (Alternative Hypothesis):** At least one group mean is different.
* Option e. "H1 : Not all means are equal" accurately reflects this.
* Option d. "H1 : µ1 ≠ µ2 ≠ µ3" is too restrictive. It implies that *every* mean is different from *every* other mean, which isn't necessary for the alternative hypothesis to be true.
**Therefore, the correct answer is e. You are correct.**
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