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

question 100

Multiple Choice

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

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Definitions:

Equivalent Payments

Payments of equal value adjusted for timing or conditions to make them comparable.

Equal Payments

Regular payments of the same amount, often used in the context of loans or mortgages.

Interest Rate

The ratio of a loan that accumulates interest charges for the borrower, customarily articulated as an annual percentage of the loan outstanding.

Interest Rate

The percentage at which interest is charged or paid on a loan or investment over a specific period of time.