Solve the problem.
-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 $\alpha = 0.01$ 01 to test the claim that $\mathrm { p } _ { 1 }

Question

Solve the problem.
-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 $\alpha = 0.01$ 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? $$\begin{array} { l c c } 
\hline & \text { Household with Dog } & \text { Household without Dog } \
\hline \text { Number of households in sample } & 208 & 126 \
\text { Number of households burglarized } & 21 & 15 \
\hline
\end{array}$$
A) z = 2.33; yes
B) z = -2.33; no
C) z = -2.575; no
D) z = -1.96; yes

Quizplus · Accepted Answer

The critical value for a left-tailed test at $\alpha = 0.01$ is $z = -2.33$. Since the calculated test statistic is not less than -2.33, we do not reject the null hypothesis, so the data do not support the claim.

Solve the Problem α=0.01\alpha = 0.01α=0.01 01 to Test the Claim That

Solve the Problem $\alpha = 0.01$ 01 to Test the Claim That