The Table Shows the Number of Households Burglarized in a Sample

question 45

Multiple Choice

The table shows the number of households burglarized in a sample of households with dogs and in a sample of households without dogs. Assume that you plan to use a significance level of $\alpha = 0.01$ to test the claim that $\mathrm { p } _ { 1 } < \mathrm { p } _ { 2 }$ . Find the critical value(s) for this hypothesis test. Do the data support the claim that a smaller proportion of households with pet dogs are burglarized?
$\begin{array}{lcc}\hline & \text { Household with Dog } & \text { Household without Dog } \\\hline \text { Number of households in sample } & 225 & 137 \\\text { Number of households burglarized } & 25 & 10 \\\hline\end{array}$

• A) \(\mathrm { z } = - 2.575\); no
• B) \(z = - 2.33\); no
• C) \(z = - 1.96\); yes
• D) \(z = 2.33\); yes

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