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What is stated by the alternative hypothesis (H1) for an ANOVA?

A. All of the population means are different from each other.
B. None of the other three choices is correct.
C. There are no differences between any of the population means.
D. At least one of the population means is different from another mean.

1 Answer

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Answer:

The statement given by the alternative hypothesis (H1) for an ANOVA is:

D. At least one of the population means is different from another mean.

In other words, the alternative hypothesis for an ANOVA states that there is a difference between at least two of the population means being compared in the analysis. This means that not all of the means are equal and that there is some level of variation between them.

The null hypothesis (H0) for an ANOVA, on the other hand, assumes that there are no differences between any of the population means being compared. Therefore, if the ANOVA test shows a significant difference between at least two means, the null hypothesis can be rejected in favor of the alternative hypothesis.

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