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Worried about Retirement? In April 2009, the Gallup

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QUESTION:

Worried about Retirement? In April 2009, the Gallup organization surveyed 676 adults aged 18 and older and found that 352 believed they would not have enough money to live comfortably in retirement. Does the sample evidence suggest that a majority of adults in the United States believe they will not have enough money in retirement? Use the \(\alpha=0.05\) level of significance.

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QUESTION:

Worried about Retirement? In April 2009, the Gallup organization surveyed 676 adults aged 18 and older and found that 352 believed they would not have enough money to live comfortably in retirement. Does the sample evidence suggest that a majority of adults in the United States believe they will not have enough money in retirement? Use the \(\alpha=0.05\) level of significance.

ANSWER:

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Given

In April 2009, the Gallup organization surveyed 676 adults aged 18 and older and found that 352 believed they would not have enough money to live comfortably in retirement

n = 676 , x = 352,

\(\begin{array}{l}
\widehat{P}=\frac{x}{n} \\
\widehat{P}=\frac{352}{676} \\
\widehat{P}=0.520
\end{array}\)

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