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2. [6] Below is data from a sample of elected presidents and their main opponent in the same year. Is there sufficient evidence (at a

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2. [6] Below is data from a sample of elected presidents and their main opponent in the same year. Is there sufficient evidence (at a = 0.05) to show that president elects are taller than the losing candidate? Height (cm) of President 189 173 183 180 179 184 184 Height (cm) of Opponent 180 180 175 180 179 180 181 Show rejection regions with labelled critical value(s) Ho : HI: Critical Value(s): Test Statistic: Must state what test stat is being used (2, t, etc.) the formula being used, and what values are substituted into the formula for full credit. Simply writing a number will not earn credit] P-Value: State the conclusion of the test in the context of the problem (for example, not just "reject null", but what does it mean for this specific problem)

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