A researcher is studying what determines whether a person views US military involvement in the Middle East as legitimate (1 = not legitimate, 10 = very legitimate). They studied US citizens. One group was citizens who trace their roots to the Middle East but do not have any family living there any longer (M = 5.2). Another group was citizens who trace their roots to the Middle East and still have family living there (M = 5.4). A third group was citizens who trace their roots to some other part of the world (M = 5.6). Using a one-way ANOVA, the researcher did not find a statistically significant result. What substantive conclusion did they reach?

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