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In: Statistics and Probability

A veterinary study on canines reports that 16.7% of Huskies tested positive for Leptospirosis, a bacterial...

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.

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