Use the Following Information for Questions:
Suppose a Park $\alpha$

Short Answer

Use the following information for questions:
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. H_a: 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.
-If the park ranger collected data on 500 trees in the park, is the difference between the observed percentage of 7% and the hypothesized value of 5% statistically significant (use $\alpha$ = 0.05)?