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In one particular rainforest in Tasmania, it has been found that 70% of the trees are eucalyptus trees; 20% of the trees are Australian blackwood trees and 10% of the trees are myrtle beech trees. Unfortunately, this rainforest has recently been affected by bushfires; and we are interested in determining whether or not the above percentage distribution of trees has been affected by these bushfires. When the number of trees remaining were counted after several had been burnt down by the bushfires, it was found that there were a total of 500 trees left. Of these, 320 were eucalyptus trees; 120 were Australian blackwood trees and 60 were myrtle beech trees. A scientist would like to know if there is evidence of a significant change in the percentage distribution of trees aş a result of these unfortunate bushfires. (i) Use statistical notation to state the appropriate null and alternate hypotheses. (ii) Calculate the chi-squared test statistic for these data. (iii) Given a p-value of 0.038 and a significance level of a = 0.05, what is your conclusion here? Give a reason for your answer. %3D

In one particular rainforest in Tasmania, it has been found that 70% of the trees are eucalyptus trees; 20% of the trees are Australian blackwood trees and 10% of the trees are myrtle beech trees. Unfortunately, this rainforest has recently been affected by bushfires; and we are interested in determining whether or not the above percentage distribution of trees has been affected by these bushfires. When the number of trees remaining were counted after several had been burnt down by the bushfires, it was found that there were a total of 500 trees left. Of these, 320 were eucalyptus trees; 120 were Australian blackwood trees and 60 were myrtle beech trees. A scientist would like to know if there is evidence of a significant change in the percentage distribution of trees aş a result of these unfortunate bushfires. (i) Use statistical notation to state the appropriate null and alternate hypotheses. (ii) Calculate the chi-squared test statistic for these data. (iii) Given a p-value of 0.038 and a significance level of a = 0.05, what is your conclusion here? Give a reason for your answer. %3D

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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In one particular rainforest in Tasmania, it has been found that 70% of the trees are eucalyptus trees; 20% of the trees are Australian blackwood trees and 10% of the trees are myrtle beech trees. Unfortunately, this rainforest has recently been affected by bushfires; and we are interested in determining whether or not the above percentage distribution of trees has been affected by these bushfires. When the number of trees remaining were counted after several had been burnt down by the bushfires, it was found that there were a total of 500 trees left. Of these, 320 were eucalyptus trees; 120 were Australian blackwood trees and 60 were myrtle beech trees. A scientist would like to know if there is evidence of a significant change in the percentage distribution of trees aş a result of these unfortunate bushfires. (i) Use statistical notation to state the appropriate null and alternate hypotheses. (ii) Calculate the chi-squared test statistic for these data. (ii1) Given a p-value of 0.038 and a significance level of a = 0.05, what is your conclusion here? Give a reason for your answer.
Transcribed Image Text:In one particular rainforest in Tasmania, it has been found that 70% of the trees are eucalyptus trees; 20% of the trees are Australian blackwood trees and 10% of the trees are myrtle beech trees. Unfortunately, this rainforest has recently been affected by bushfires; and we are interested in determining whether or not the above percentage distribution of trees has been affected by these bushfires. When the number of trees remaining were counted after several had been burnt down by the bushfires, it was found that there were a total of 500 trees left. Of these, 320 were eucalyptus trees; 120 were Australian blackwood trees and 60 were myrtle beech trees. A scientist would like to know if there is evidence of a significant change in the percentage distribution of trees aş a result of these unfortunate bushfires. (i) Use statistical notation to state the appropriate null and alternate hypotheses. (ii) Calculate the chi-squared test statistic for these data. (ii1) Given a p-value of 0.038 and a significance level of a = 0.05, what is your conclusion here? Give a reason for your answer.
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