You work for a public relations department of the Social Security Administration in the United States. In an effort to design better advertising campaigns, your department decides to conduct a survey to find out the opinions people have about the Social Security system. Your department believes that "at least 45%" (that is, p≥ 0.45) of people in the United States think the Social Security system will have money available to provide the benefits they expect for their retirements. An independent organization conducted the survey; and from the data they found that 43% of people believe that they will have money when they retire. How would you formulate the null hypothesis and its corresponding alternative hypothesis? Write down both statements and explain why you decided how to formulate the alternative hypothesis the way you did.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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You work for a public relations department of the Social Security Administration in the United States.
In an effort to design better advertising campaigns, your department decides to conduct a survey to
find out the opinions people have about the Social Security system. Your department believes that
"at least 45%" (that is, p≥ 0.45) of people in the United States think the Social Security system
will have money available to provide the benefits they expect for their retirements. An independent
organization conducted the survey; and from the data they found that 43% of people believe that they
will have money when they retire. How would you formulate the null hypothesis and its corresponding
alternative hypothesis? Write down both statements and explain why you decided how to formulate
the alternative hypothesis the way you did.
Transcribed Image Text:You work for a public relations department of the Social Security Administration in the United States. In an effort to design better advertising campaigns, your department decides to conduct a survey to find out the opinions people have about the Social Security system. Your department believes that "at least 45%" (that is, p≥ 0.45) of people in the United States think the Social Security system will have money available to provide the benefits they expect for their retirements. An independent organization conducted the survey; and from the data they found that 43% of people believe that they will have money when they retire. How would you formulate the null hypothesis and its corresponding alternative hypothesis? Write down both statements and explain why you decided how to formulate the alternative hypothesis the way you did.
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