• When there are calculations,show formulas and ALL OF your work and CIRCLE or HIGHLIGHTyour final answer.
• Be sure to show hypotheses in the proper format to denote proportion or means (e.g.,

H₀: =10)

• If noted, round based on the instructions in each question
• No excel for the p-value or test statistic

The county Parks & Recs department is creating the budget for park maintenance.The budget assumes that the proportion of trees in the county parks in need of pruning is 10%, but the County Commissioner fears the budget is not sufficient and that the proportion of trees in need of pruning is significantly higher than 10%. She wants you to test her hypothesis.

1. Write the null and alternative hypotheses.
2. After a week of hard work randomly inspecting 250 trees throughout county green spaces, a park ranger found that 13% of the trees in the sample were in need of pruning. Calculate the test statistic.Note: Do not round the numerator or denominator in your test-statistic equation. Round your test statistic to 2 decimal places (tenths) before finding the p-value for 2c
3. What is the p-value?Note: Include the k degrees of freedomonly if appropriate.
4. Using alpha=.05, should you reject or fail to reject the null hypothesis? Why?

6. State your conclusion directly to the County Commissioner