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Julia Hypothesizes That Fewer Than 90 Percent of Her Visa

Question 129

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Julia hypothesizes that fewer than 90 percent of her Visa purchases are under $100. She examines a random sample of her recent purchases and performs a test. The results shown below are from MegaStat. What would Julia conclude from this test? Explain carefully.
 Observed  Hypothesized 0.83080.9p (as decimal) 108/130117/130p (as fraction) 108.117.X130130n0.0263 std. error 2.63z.0043 p-value (one-tailed, lower) \begin{array} { | c c l | } \hline \text { Observed } & \text { Hypothesized } & \\0.8308 & 0.9 & \mathrm { p } \text { (as decimal) } \\108 / 130 & 117 / 130 & \mathrm { p } \text { (as fraction) } \\108 . & 117 . & \mathrm { X } \\130 & 130 & \mathrm { n } \\& & \\0.0263 & \text { std. error } & \\- 2.63 & z & \\.0043 & \text { p-value (one-tailed, lower) } \\\hline\end{array}

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The p-value says that p = 108/130 = .830...

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