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In a study of 795 randomly selected medical malpractice lawsuits, it was found that 513 of them were dropped or dismissed. Use a 0.01 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed.

Which of the following is the hypothesis test to be conducted?
A.
\[
\begin{array}{l}
H_{0}: p=0.5 \\
H_{1}: p< 0.5
\end{array}
\]
c.
\[
\begin{array}{l}
H_{0}: p> 0.5 \\
H_{1}: p=0.5
\end{array}
\]
E. $H_{0}: p \neq 0.5$
\[
H_{1}: p=0.5
\]
B.
\[
\begin{array}{l}
H_{0}: p=0.5 \\
H_{1}: p> 0.5
\end{array}
\]
D.
\[
\begin{array}{l}
H_{0}: p=0.5 \\
H_{1}: p \neq 0.5
\end{array}
\]
F.
\[
\begin{array}{l}
H_{0}: p< 0.5 \\
H_{1}: p=0.5
\end{array}
\]
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Step 1 ：The question is asking for the correct hypothesis test to be conducted given the claim that most medical malpractice lawsuits are dropped or dismissed. In hypothesis testing, the null hypothesis (H0) is usually a statement of no effect or status quo, while the alternative hypothesis (H1) is the claim we are testing for. In this case, the claim is that most lawsuits are dropped or dismissed, which implies that the proportion of lawsuits dropped or dismissed is greater than 0.5. Therefore, the null hypothesis should be that the proportion is equal to 0.5, and the alternative hypothesis should be that the proportion is greater than 0.5.

Step 2 ：The correct hypothesis test to be conducted is \n\[\n\begin{array}{l}\nH_{0}: p=0.5 \\\nH_{1}: p>0.5\n\end{array}\n\]