Question

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.

Answer 1

The 95% confidence interval suggests that between 51.2% and 56.8% of horse chestnut trees in urban environments in Great Britain are infected with the bleeding canker disease.

Step-by-step explanation:

The 95% confidence interval for the proportion of all infected horse chestnut trees in the urban environments of Great Britain is (0.512, 0.568). This means that we are 95% confident that the true proportion of infected trees falls within this range.

For example, if we take multiple samples and calculate the confidence intervals for each sample, 95% of the intervals will contain the true proportion of infected trees. In this case, the interval suggests that between 51.2% and 56.8% of horse chestnut trees in urban environments in Great Britain are infected with the bleeding canker disease.