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A Wisconsin resident was curious whether the color of roofing materials had any association with snow...

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Statistics

A Wisconsin resident was curious whether the color of roofingmaterials had any association with snow accumulation in Wisconsin.One day after a surprising October snowfall, they went to the topof the Capitol Building and examined the 500 visible distinct roofswith a pair of binoculars, and found 340 dark colored roofs and 160light colored roofs. Of the dark colored roofs, 80 still hadvisible snow accumulation, while 70 of the light colored roofsstill had visible snow.

(a) Perform a hypothesis test at the 5% level of significanceto determine if there is evidence of a difference in the proportionof roofs with visible snow accumulation between dark colored roofsand light colored roofs. (Be sure to state your hypotheses and showyour computations.)

(b) Create a 95% confidence interval for the difference inproportion of dark and light roofs with snow accumulation.

(c) State one reason why the resident’s observations may notbe independent.

Answer & Explanation Solved by verified expert
4.3 Ratings (772 Votes)
Let denote heproportion    See Answer
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