A researcher is conducting a study of charitable donations by surveying a simple random sample of householdsin a certain city. The researcher wants to determine whether there is convincing statistical evidence that more than 50 percent of households in the city gave a charitable donation in the past year. Let p represent the proportion of all households in the city that gave a charitable donation in the past year. Which of the followingare appropriate hypotheses for the researcher? 
选项为:A:H\textsubscript{0} : p = 0.5 and H\textsubscript{a}~: p \textgreater{} 0.5  B:H\textsubscript{0} : p = 0.5 and H\textsubscript{a}~: p * 0.5  C:H\textsubscript{0} : p = 0.5 and H\textsubscript{a} : p \textless{} 0.5  D:H\textsubscript{0}~: p \textgreater{} 0.5 and H\textsubscript{a} : p $\ne$0.5  E:H\textsubscript{0} : p \textgreater{} 0.5 and H\textsubscript{a} : p = 0.5  请回答其中一个选项.