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Pine trees grow well in some parts of the woods, but not others. It is known that the distribution of pines is related to drainage, that is, that pines prefer a very well-drained soil, while they do poorly in wet areas. It is known that 50% of pine trees grow in dry soil, 30% in loamy soil, and 20% in wet soil. A researcher sampled 50 plots with pine trees and observed that 31 were dry, 17 loamy, and only 2 were wet. Test the claim that percentages are the same. Use a=2.5% a) State the hypotheses and identify the claim with the correct hypothesis. O 1. Ho:percentages are the same (Not claim) H: percentages are different(claim) O 2. Ho percentages are the same (claim) He: percentages are different( Not claim) 3. Ho percentages are different (claim) H: percentages are the same( Not claim) -15 Find the critical value (s).

b) Find the critical value (s). 01. CV=9.348 O 2. CV=5.024 03. CV=7.378 c) Compute the test value: 01.X2= 8.11 2. X2=10.11 O 3. X2= 12.11 d) Make the decision. 01. Reject the null hypothesis. 2.Do not reject the null hypothesis. e) Summarize the results. 01. There is enough evidence to support the claim. 2. There is not enough evidence to support the claim.