Suppose that a health expert has claimed that 28% of college students smoke cigarettes. To investigate this claim, researchers survey a random sample of college students. Using this sample, a 95% confidence interval for the percentage of college students who smoke is found to be 19% to 24%. On the basis of this interval, explain whether the claim that 28% of all college students smoke is reasonable or not.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Suppose that a health expert has claimed that 28% of college students smoke cigarettes. To investigate this claim, researchers survey a random sample of college students. Using this sample, a 95% confidence interval for the percentage of college students who smoke is found to be 19% to 24%. On the basis of this interval, explain whether the claim that 28% of all college students smoke is reasonable or not.

You may need to use the appropriate table in the Appendix of Tables to answer this question.

a) The claim of 28% is reasonable because the value 28% is not in the confidence interval.
b) The claim of 28% is not reasonable because the value 28% is in the confidence interval.    
c) The claim of 28% is not reasonable because the value 28% is not in the confidence interval.
d) The claim of 28% is reasonable because the value 28% is in the confidence interval.
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