The manufacturer of the ColorSmart-5000 television set claims 95 percent of its sets last at least five years without needing a single repair. In order to test this claim, a consumer group randomly selects 427 consumers who have owned a ColorSmart-5000 television set for five years. Of these 427 consumers, 314 say their ColorSmart-5000 television sets did not need a repair, whereas 113 say their ColorSmart-5000 television sets did need at least one repair. (a) Find a 99 percent confidence interval for the proportion of all ColorSmart-5000 television sets that have lasted at least five years without needing a single repair. (Round your answers to 3 decimal places.) The 99 percent confidence interval is (b) Does this confidence interval provide strong evidence that the percentage of all ColorSmart-5000 television sets that last at least five years without a single repair is less than the 95 percent claimed by the manufacturer? the interval is 0.95.

The manufacturer of the ColorSmart-5000 television set claims 95 percent of its sets last at least five years without needing a single repair. In order to test this claim, a consumer group randomly selects 427 consumers who have owned a ColorSmart-5000 television set for five years. Of these 427 consumers, 314 say their ColorSmart-5000 television sets did not need a repair, whereas 113 say their ColorSmart-5000 television sets did need at least one repair. (a) Find a 99 percent confidence interval for the proportion of all ColorSmart-5000 television sets that have lasted at least five years without needing a single repair. (Round your answers to 3 decimal places.) The 99 percent confidence interval is (b) Does this confidence interval provide strong evidence that the percentage of all ColorSmart-5000 television sets that last at least five years without a single repair is less than the 95 percent claimed by the manufacturer? the interval is 0.95.

Name: The manufacturer of the ColorSmart-5000 television set claims 95 perc
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Description: The manufacturer of the ColorSmart-5000 television set claims 95 percent of its sets last at least five years without needing a singlerepair. In order to test this claim, a consumer group randomly selects 427 consumers who have owned a ColorSmart-50

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.

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Question

The manufacturer of the ColorSmart-5000 television set claims 95 percent of its sets last at least five years without needing a single
repair. In order to test this claim, a consumer group randomly selects 427 consumers who have owned a ColorSmart-5000 television
set for five years. Of these 427 consumers, 314 say their ColorSmart-5000 television sets did not need a repair, whereas 113 say their
ColorSmart-5000 television sets did need at least one repair.
(a) Find a 99 percent confidence interval for the proportion of all ColorSmart-5000 television sets that have lasted at least five years
without needing a single repair. (Round your answers to 3 decimal places.)
The 99 percent confidence interval is
(b) Does this confidence interval provide strong evidence that the percentage of all ColorSmart-5000 television sets that last at least
five years without a single repair is less than the 95 percent claimed by the manufacturer?
the interval is
0.95.

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