Researchers from a national research organization investigated which platform (television, social media, newspaper, Internet, etc.) United States adults prefer to use to obtain their news. In 2016, of the 200 randomly selected United States adults that were surveyed, 114 selected television as their preferred platform. In 2018, of the 200 randomly selected United States adults that were surveyed, 98 selected television as their preferred platform. The conditions for inference are met. A 95 percent confidence interval for the difference in the population proportions of United States adults that use television as their preferred platform for obtaining news between 2016 and 2018 (2016 minus 2018) was found to be (-0.02, 0.18). Based on the interval, is it reasonable for the researchers to claim that there is convincing statistical evidence that the population proportion of United States adults that use television as their preferred method to obtain news differed between 2016 and 2018? (A) No, because the researchers should have used a greater confidence level to obtain convincing evidence. No, because zero is included in the interval there is not convincing statistical evidence that the population proportion differed between 2016 and 2018. (B) (C) (D) (E) Yes, because zero is included in the interval there is convincing statistical evidence that the population proportion differed between 2016 and 2018. Yes, because most of the interval is positive there is convincing statistical evidence that the population proportion increased from 2016 to 2018. Yes, because 0.57 is greater than 0.49 there is convincing statistical evidence that the population proportion decreased from 2016 to 2018.
Researchers from a national research organization investigated which platform (television, social media, newspaper, Internet, etc.) United States adults prefer to use to obtain their news. In 2016, of the 200 randomly selected United States adults that were surveyed, 114 selected television as their preferred platform. In 2018, of the 200 randomly selected United States adults that were surveyed, 98 selected television as their preferred platform. The conditions for inference are met. A 95 percent confidence interval for the difference in the population proportions of United States adults that use television as their preferred platform for obtaining news between 2016 and 2018 (2016 minus 2018) was found to be (-0.02, 0.18). Based on the interval, is it reasonable for the researchers to claim that there is convincing statistical evidence that the population proportion of United States adults that use television as their preferred method to obtain news differed between 2016 and 2018? (A) No, because the researchers should have used a greater confidence level to obtain convincing evidence. No, because zero is included in the interval there is not convincing statistical evidence that the population proportion differed between 2016 and 2018. (B) (C) (D) (E) Yes, because zero is included in the interval there is convincing statistical evidence that the population proportion differed between 2016 and 2018. Yes, because most of the interval is positive there is convincing statistical evidence that the population proportion increased from 2016 to 2018. Yes, because 0.57 is greater than 0.49 there is convincing statistical evidence that the population proportion decreased from 2016 to 2018.
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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Question
Transcribed Image Text:Researchers from a national research organization investigated which platform (television, social media, newspaper,
Internet, etc.) United States adults prefer to use to obtain their news. In 2016, of the 200 randomly selected United
States adults that were surveyed, 114 selected television as their preferred platform. In 2018, of the 200 randomly
selected United States adults that were surveyed, 98 selected television as their preferred platform. The conditions
for inference are met. A 95 percent confidence interval for the difference in the population proportions of United
States adults that use television as their preferred platform for obtaining news between 2016 and 2018 (2016
minus 2018) was found to be (-0.02, 0.18).
Based on the interval, is it reasonable for the researchers to claim that there is convincing statistical evidence that
the population proportion of United States adults that use television as their preferred method to obtain news
differed between 2016 and 2018?
(A) No, because the researchers should have used a greater confidence level to obtain convincing evidence.
No, because zero is included in the interval there is not convincing statistical evidence that the population
proportion differed between 2016 and 2018.
(B)
(C)
(D)
(E)
Yes, because zero is included in the interval there is convincing statistical evidence that the population
proportion differed between 2016 and 2018.
Yes, because most of the interval is positive there is convincing statistical evidence that the population
proportion increased from 2016 to 2018.
Yes, because 0.57 is greater than 0.49 there is convincing statistical evidence that the population proportion
decreased from 2016 to 2018.
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