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Suppose a park ranger wishes to collect some data from the State Park he works in to asses if the proportion of trees in the park that are in need of pruning is significantly higher than 5%. He will test the hypotheses H0: p = 0.05 vs. Ha: p > 0.05. After a week of hard work, randomly selecting and inspecting trees throughout the entire park, the park ranger found that 7% of the trees in the sample were in need of pruning.
-Explain in your own words why the results of the test were so different, even though the sample proportion was 7% in both cases.
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