Mr. Guo and Mr. Lange are interested in studying TV failure rates across different brands. They select 12046 TVs each from two different brands and record the number that fail to last 10 years. Brand 1 is found to have 7482 such failures, while Brand 2 is found to have 6993 failures. Mr. Guo and Mr. Lange wish to know if there is enough evidence to conclude that the failure rates are statistically different. (a) State the competing theories of this test. (b) Are the requirements for the 2-Sample Z Test for Equal Propor- tions met? If not, explain why. (c) Compute the Z statistic. Round your answer to three decimal places. (d) Compute α0 as discussed in class. What conclusion can you draw?
-
Mr. Guo and Mr. Lange are interested in studying TV failure rates across different brands. They select 12046 TVs each from two different brands and record the number that fail to last 10 years. Brand 1 is found to have 7482 such failures, while Brand 2 is found to have 6993 failures. Mr. Guo and Mr. Lange wish to know if there is enough evidence to conclude that the failure rates are statistically different.
-
(a) State the competing theories of this test.
-
(b) Are the requirements for the 2-Sample Z Test for Equal Propor- tions met? If not, explain why.
-
(c) Compute the Z statistic. Round your answer to three decimal places.
-
(d) Compute α0 as discussed in class. What conclusion can you draw?
-
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
