In a survey, 39% of a randomly selected sample of n = 935 American adults said that they do not get enough sleep each night. The margin of error for the 95% confidence level was reported to be 3.4%. (a) Use the survey information to create a 95% confidence interval for the percentage that feels they don't get enough sleep every night. % to % Write a sentence that interprets this interval. Specify the population. With night. % confidence, we can say that in the population of American adults between ' % and % would say they don't get enough sleep each (b) Do you think this sample could be used to estimate the percentage of college students who think they don't get enough sleep each night? Why or why not? No, the population the sample comes from may not be representative of college students, fulfilling the Fundamental Rule for Using Data For Inference. No, the population the sample comes from may not be representative of college students, violating the Fundamental Rule for Using Data For Inference. Yes, the population the sample comes from is representative of college students, fulfilling the Fundamental Rule for Using Data For Inference. Yes, the population the sample comes from is representative of college students, violating the Fundamental Rule for Using Data For Inference.
In a survey, 39% of a randomly selected sample of n = 935 American adults said that they do not get enough sleep each night. The margin of error for the 95% confidence level was reported to be 3.4%. (a) Use the survey information to create a 95% confidence interval for the percentage that feels they don't get enough sleep every night. % to % Write a sentence that interprets this interval. Specify the population. With night. % confidence, we can say that in the population of American adults between ' % and % would say they don't get enough sleep each (b) Do you think this sample could be used to estimate the percentage of college students who think they don't get enough sleep each night? Why or why not? No, the population the sample comes from may not be representative of college students, fulfilling the Fundamental Rule for Using Data For Inference. No, the population the sample comes from may not be representative of college students, violating the Fundamental Rule for Using Data For Inference. Yes, the population the sample comes from is representative of college students, fulfilling the Fundamental Rule for Using Data For Inference. Yes, the population the sample comes from is representative of college students, violating the Fundamental Rule for Using Data For Inference.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Transcribed Image Text:In a survey, 39% of a randomly selected sample of n = 935 American adults said that they do not get enough sleep each night. The margin of error for the 95% confidence level was reported to be
3.4%.
(a) Use the survey information to create a 95% confidence interval for the percentage that feels they don't get enough sleep every night.
% to
%
Write a sentence that interprets this interval. Specify the population.
With
night.
% confidence, we can say that in the population of American adults
between
'
% and
% would say they don't get enough sleep each
(b) Do you think this sample could be used to estimate the percentage of college students who think they don't get enough sleep each night? Why or why not?
No, the population the sample comes from may not be representative of college students, fulfilling the Fundamental Rule for Using Data For Inference.
No, the population the sample comes from may not be representative of college students, violating the Fundamental Rule for Using Data For Inference.
Yes, the population the sample comes from is representative of college students, fulfilling the Fundamental Rule for Using Data For Inference.
Yes, the population the sample comes from is representative of college students, violating the Fundamental Rule for Using Data For Inference.
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