Spring 2022 1. Citrus tristeza virus (CTV) is one of the most destructive diseases of citrus plants. A sample of 500 trees were randomly selected to be counted for the presence of aphids on the trees. 360 trees were observed to have aphids, with 5000 aphids total collected. A random sampling of the aphids indicated 48% of the aphids carried CTV. a. What is the estimated probability of a tree having aphids? b. What is the estimated probability of a tree not having aphids? c. What is the 95% confidence interval that trees have aphids? d. What is the 95% confidence interval that aphids do not carry CTV? c. What is your decision based on a 5% significance? how you arrived at your decision