In: Statistics and Probability
A veterinary study on canines reports that 16.7% of Huskies tested positive for Leptospirosis, a bacterial disease found in soil and water. The study also reports that 12.5% of German Shepherds tested positive for Leptospirosis.
Here are the data from the study:
Leptospirosis test Huskies German Shepherds
Positive 15 20
Negative 75 140
Total: 90 160
Research question: Is the population proportion of Huskies with Leptospirosis (p1) different than the population proportion of German Shepherds with Leptospirosis (p2)?
Calculate the z test statistic for this two proportions test. Round to two decimal places.
Provide the margin of error for the 95% confidence interval. Round to two decimal places.