Question: Trees growing near power lines can cause power failures during storms. Researchers are developing hormone and chemical treatments that will stunt or slow tree growth. However, if the treatments are too toxic, trees will die. In fact, many treatments kill about 50% of trees. Researchers have developed a treatment they claim results in a lower death rate for all tree species. To evaluate the treatment, it was applied to 216 sycamore trees and 41 died shortly after application of the treatment.   Use this information to complete parts a‐d of this question

1. Using statistical notation, list the hypotheses for the appropriate hypothesis test in this situation.
2. Compute the test statistic to test the hypotheses you provided in part a. Show your work.
3. Compute the P‐value to test the hypotheses you provided in part a.  Show your work.
4. Assume it is appropriate to consider these sycamore trees (and their survival/death) as being independent from each other.

1. Write the conclusion of the test of the hypotheses you provided in part a based on a 5% significance level. Detailed answer.
2. Is the researchers’ claim justified? Why or why not? Detailed answer.

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