The 2010 General Social Survey asked the question: "For how many days during the past 30 days was your mental health, which includes stress, depression, and problems with emotions, not good?" Based on responses from 1,151 US residents, the survey reported a 95% confidence interval of 3.42 to 4.50 days in 2010.(a) Interpret this interval in context of the data.__The researchers can be 95% confident that the true population mean number of ''not good'' days in the past 30 is between 3.42 and 4.50__95% of surveys will report a mean number of ''not good'' days in the past 30 is between 3.42 and 4.50__The researchers can be 95% confident that the sample mean number of ''not good'' days in the past 30 is between 3.42 and 4.50(b) Suppose the researchers think a 99% confidence level would be more appropriate for this interval. Will this new interval be smaller or larger than the 95% confidence interval?__smaller since we will be more sure of our results__smaller since we have less room for error__larger since the standard error would be larger__larger since the margin for error must be larger

In statistical inference an investigator wants to know about the population parameters. But for…

Answered: The 2010 General Social Survey asked…

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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The 2010 General Social Survey asked the question: "For how many days during the past 30 days was your mental health, which includes stress, depression, and problems with emotions, not good?" Based on responses from 1,151 US residents, the survey reported a 95% confidence interval of 3.42 to 4.50 days in 2010.

(a) Interpret this interval in context of the data.

__The researchers can be 95% confident that the true population mean number of ''not good'' days in the past 30 is between 3.42 and 4.50
__95% of surveys will report a mean number of ''not good'' days in the past 30 is between 3.42 and 4.50
__The researchers can be 95% confident that the sample mean number of ''not good'' days in the past 30 is between 3.42 and 4.50

(b) Suppose the researchers think a 99% confidence level would be more appropriate for this interval. Will this new interval be smaller or larger than the 95% confidence interval?