Due to a concern regarding the presence of a disease known as Horse Chestnut Bleeding Canker affecting Great Britain’s horse chestnut trees, a group of scientists from the Forestry Commission set out to count the number of affected trees in urban environments. The group surveyed 1244 horse chestnut trees located in urban environments and found that 54% of the trees surveyed showed symptoms of the bleeding canker disease. The 95% confidence interval for this proportion is (0.512,0.568) Select the option that correctly interprets the 95% confidence interval for the proportion of all infected horse chestnut trees in the urban environments of Great Britain. 1. The scientists are 95% confident that 54% of all horse chestnut trees in the urban environments of Great Britain are affected by the bleeding canker disease. 2. The scientists know that the proportion of horse chestnut trees in the urban environments of Great Britain infected with the bleeding canker disease lies between 51.2% and 56.8%. 3. The scientists found that between 51.2% and 56.8% of the horse chestnut trees in the urban environments of Great Britain that they sampled are infected with the bleeding canker disease. 4. With 95% confidence, the scientists believe the percentage of all horse chestnut trees in the urban environments of Great Britain affected by the bleeding canker disease is between 51.2% and 56.8

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter4: Equations Of Linear Functions
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Due to a concern regarding the presence of a disease known as Horse Chestnut Bleeding Canker affecting Great Britain’s horse chestnut trees, a group of scientists from the Forestry Commission set out to count the number of affected trees in urban environments. The group surveyed 1244 horse chestnut trees located in urban environments and found that 54% of the trees surveyed showed symptoms of the bleeding canker disease. The 95% confidence interval for this proportion is (0.512,0.568)

Select the option that correctly interprets the 95% confidence interval for the proportion of all infected horse chestnut trees in the urban environments of Great Britain.

1. The scientists are 95% confident that 54% of all horse chestnut trees in the urban environments of Great Britain are affected by the bleeding canker disease.

2. The scientists know that the proportion of horse chestnut trees in the urban environments of Great Britain infected with the bleeding canker disease lies between 51.2% and 56.8%.

3. The scientists found that between 51.2% and 56.8% of the horse chestnut trees in the urban environments of Great Britain that they sampled are infected with the bleeding canker disease.

4. With 95% confidence, the scientists believe the percentage of all horse chestnut trees in the urban environments of Great Britain affected by the bleeding canker disease is between 51.2% and 56.8%.

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