An entomologist is studying a new tick species that may be the carrier of the pathogen associated with lyme disease. She designs a study to estimate prevalence of the pathogen in the tick. She examines 100 ticks randomly selected in the study region during a period of the year when ticks have been known to be infected with the pathogen in other regions of the country. The examination of the 100 ticks finds none of the ticks are infected with the pathogen.
a. Provide the entomologist with an estimate of the proportion of ticks of this species that are carrying the pathogen.
b. Construct a 95% confidence interval for the proportion of ticks of this species that are carrying the pathogen.
c. The prevalence of the lyme-associated pathogen in the black- legged tick is 2%. Is the prevalence in the new species of tick less than the prevalence in the black-legged tick? Use a = .01.