Below is data from a sample of elected presidents and their main opponent in the same year. Is there sufficient evidence (at significance level=0.05) to show that president elects are taller than the losing candidate? Ht of President (cm): 189 173 183 180 179 184 184 Ht of opponent (cm): 170 180 175 180 177 180 179 1. H^0: ? 2. H^1: ? 3. Critical value(s):? 4. Graph rejection regions with labelled critical value(s) 5. Test statistic: State what test stat is being used (z, t, etc.) the formula being used, and what values are substituted into the formula.  6. P-value ? 7. 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):

Question

Below is data from a sample of elected presidents and their main opponent in the same year. Is there sufficient evidence (at significance level=0.05) to show that president elects are taller than the losing candidate?

Ht of President (cm): 189 173 183 180 179 184 184

Ht of opponent (cm): 170 180 175 180 177 180 179

1. H^0: ?

2. H^1: ?

3. Critical value(s):?

4. Graph rejection regions with labelled critical value(s)

5. Test statistic: State what test stat is being used (z, t, etc.) the formula being used, and what values are substituted into the formula. 

6. P-value ?

7. 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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