Question

The Kool-Aid Man is an enigmatic creature that is known for busting through walls randomly and belting “Oh, Yeah!” Peo- ple usually love the Kool-Aid Man, but he’s been taking things too far recently. In San Diego, 30 out of 60 randomly selected homes were destroyed by the Kool-Aid Man, and in LA it was 60 out of 70.

(a) Using the obtained samples, conduct a hypothesis test us- ing the p-value method to see if the proportion of destruc- tion in both cities is the same. Let P(I) = .01.

(b) Create a 99% confidence interval for the difference in de- struction using the sample obtained.

(c) Interpret the confidence interval in part b) within the con- text of this experiment.

a,b,c

Answer 1

(c)

We are 99% confident that  the true difference in proportion of destruction in Kool-Aid Man and LA lies in (-0.5663, -0.1479).