MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Answer D and E
In a survey conducted by the Gallup organization, 1,017 adults were asked, "In general, how much trust and confidence do you have in the mass media — such as newspapers, TV, and radio — when it comes to reporting the news fully, accurately, and fairly?" Of the 1,017 respondents, 214 said they had "no confidence at all." Test, at the 5% level, if this sample provides evidence that the proportion of U.S. adults who have “no confidence in the media” differs significantly from 25%. Include the symbols and value of the sample statistic, the test statistic, p-value, and the conclusion of the test in context. a) State the hypotheses. b) State the notation and value of the sample statistic. c) State the test-statistic (z-score). d) Find the p-value and compare to the significance level (5%). e) State the formal conclusion and the evidence statement (conclusion in context).
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Transcribed Image Text:In a survey conducted by the Gallup organization, 1,017 adults were asked, "In general, how much trust and confidence do you have in the mass media — such as newspapers, TV, and radio — when it comes to reporting the news fully, accurately, and fairly?" Of the 1,017 respondents, 214 said they had "no confidence at all." Test, at the 5% level, if this sample provides evidence that the proportion of U.S. adults who have “no confidence in the media” differs significantly from 25%. Include the symbols and value of the sample statistic, the test statistic, p-value, and the conclusion of the test in context. a) State the hypotheses. b) State the notation and value of the sample statistic. c) State the test-statistic (z-score). d) Find the p-value and compare to the significance level (5%). e) State the formal conclusion and the evidence statement (conclusion in context).
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Step 1: Define the given data
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Step 2: State the hypotheses
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Step 3: Define the notation and the value of the sample statistic.
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Step 4: Obtain the value of the test statistic
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Step 5: Obtain the P-value and compare it to the significance level (5%)
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Step 6: Determine the conclusion
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Solution
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