Question 1113819: In a survey of 1,000 television viewers, 40% said they watch network news programs. For a 99% confidence level, the margin of error for this estimate is 3.99%. If we only want to be 90% confident, how will the margin of error change?
A. The margin of error will remain the same.
B. Since less confidence allows a narrower interval, the margin of error will be larger.
C. Since less confidence allows a wider interval, the margin of error will be larger.
D. Since less confidence allows a wider interval, the margin of error will be smaller.
E. Since less confidence allows a narrower interval, the margin of error will be smaller.
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! In a survey of 1,000 television viewers, 40% said they watch network news programs. For a 99% confidence level, the margin of error for this estimate is 3.99%. If we only want to be 90% confident, how will the margin of error change?
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Ans::
requiring less confidence implies smaller z-value implies smaller margin of error
E. Since less confidence allows a narrower interval, the margin of error will be smaller.
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Cheers,
Stan H.
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