Site column,publishing and unpulishing

Hi Every one,

 

i have a list column name it as a active,when a user enter new item in list ,i want when active column enter item it have two options publish and unpublish ,when user select publish then it will appear in main site,when user select  unpublish then list item not appear in main site .

 

 any suggestions please,here we are using CQWP for list data rollup