Wildlife biologists inspect 155 deer takenby hunters and find 43 of them carrying ticks that testpositivefor Lyme disease.Previous data indicatesthat the percentage of deerthatcarrysuch ticksis 20%.

a) Construct then state a 90% confidence interval for the true proportion of deer that carry ticks that test positive for Lyme disease. You don't have to show your working. (2 marks)

b)Interpret your interval in this context. c) Isthere evidence that the percentage of deercarrying ticks that testpositivefor Lyme disease has increased significantly? i) State H₀ and H_A. ii) Calculate then state the test statistic value. You don't have to show your working. iii) Give the P-value and your conclusion, in context. Use =0.05. d) Explain how your confidence interval from a) and your conclusion from c) iii) support each other.