Visualforce page:
    <apex:form id="formId" styleClass="myFormStyle" >
	
        <apex:pageBlock id="pgblock2" title="Summary"   >
		<apex:pageMessages id="pg" />
		<apex:actionRegion >    
        <apex:pageBlockSection id="pgblocksection2">
 		<apex:OutputPanel >
	         <apex:panelGrid columns="7">
        	     <apex:outputLabel style="font-style:regular; font-weight:bold; 
			    font-size:11px; font-family:Helvetica;" >Date </apex:outputLabel>
             		<apex:inputText id="Date" value="{!SelectedDate}" onfocus="DynamicDatePicker(this);" 
					onchange="checkDateFormatt(this.id);" 
					size="10" disabled="false" style="width:90px; margin-right:10px;"  />
		              <apex:param value="{!SelectedDate}" assignTo="{!selectedDate}" name="p1"/>
	             <apex:outputLabel style="font-style:regular; font-weight:bold; font-size:11px; font-family:Helvetica;" >
                                      Select Assigned Person </apex:outputLabel>
	        	     <apex:selectList id="selectedlist" value="{!selectedUserId}" size="1" multiselect="false" >
        	        	      <apex:param value="{!selectedUserId}" assignTo="{!selectedUserId}" name="p2"/>
               			      <apex:selectOptions value="{!ListOfUser}" />
		             </apex:selectList>
             
            	    <apex:commandButton id="Go" action="{!getsummarylist}" value="Go"  
				onclick="validatechk();"  rerender="msgsS" />
	        </apex:panelGrid>           
             </apex:OutputPanel>
         </apex:pageBlockSection>
		</apex:actionRegion>
		
	<apex:pageBlockButtons location="Bottom" >
        	<apex:commandButton id="deleteit" value="Delete" 
			action="{!delete_now}"  reRender="msgsS,pg"/>
	</apex:pageBlockButtons>   
      
        <apex:outputPanel id="panelId">
	   <apex:pageBlockTable value="{!sub}" var="I"  id="msgsS" >
             <apex:column headerValue="Select" >
          		<apex:inputCheckbox  value="{!I.checked}" />
                   <apex:param assignTo="{!I.checked}" value="{!I.checked}" />
             </apex:column>
             <apex:column headervalue="Date"  value="{!I.tkt.Date__c}"/>
             <apex:column headervalue="Ticket Number" value="{!I.tkt.Ticket_Number__c}"/>
             <apex:column headervalue="Division"  value="{!I.tkt.Division__c}"/>
             <apex:column headervalue="Application"  value="{!I.tkt.Application__c}"/>
             <apex:column headervalue="Responsible"  value="{!I.tkt.Responsible__c}"/>
             <apex:column headervalue="Effort"  value="{!I.tkt.Effort__c}"/>
        </apex:pageBlockTable>
        </apex:outputPanel>
       </apex:pageBlock>   
        
        
    </apex:form>
</apex:page>

Apex controller
public with sharing class TestPageBlock2Cont {
    public String selecteduserId {get;set;}
    public Date selectedDate {get;set;}
    List<SelectOption> selectOptions{get;set;}
    
    public List<Wrapperclass> sub {get;set;}

    public TestPageBlock2Cont() {
        
  	     	 tktRecord = new Ticket_Effort_Category__c(); 
   			  lstwrapper = new list<wrapper>();
        	  header = 'Date,Division\r\n';
 	}
    
 //after pressing 'Go' button, this method will be called  
    public Pagereference getsummarylist(){
         if(selectedDate == null){
             system.debug('selectedDate 3 = ' +selectedDate);
          ApexPages.addmessage(new ApexPages.message(ApexPages.severity.Error,'Please enter date'));
         }
        else{
	        sub = new List<WrapperClass>(); 
 		list<ticket_effort_category__c> fetchList = new list<ticket_effort_category__c>();
        	fetchList = [select id, Date__c, ticket_number__c, Division__c, 
					Application__c, 
					Responsible__c, Effort__c 
	                    from Ticket_Effort_Category__c 
	                     where Responsible__c = :selectedUserId and Date__c = :selectedDate];
        		for(Ticket_Effort_Category__c cr : fetchlist){	
			sub.add(new wrapperClass (cr,false));
                                             }
  		}
           return null;
    }       
    
//wrapp the records and checkbox
  public class WrapperClass {
        public Ticket_effort_category__c tkt {get; set;}
	public Boolean checked {get; set;}
	public wrapperClass(Ticket_effort_category__c tkt, Boolean checked){
        this.tkt=tkt;
        this.checked = checked;
    }
    }
//delete the selected records        
  public void delete_now(){
       List<Ticket_Effort_Category__c> del = new list<Ticket_Effort_Category__c>();
        for(WrapperClass cc: sub){
            system.debug('tktid = ' +tktid);
            if(cc.checked == true){
                
                del.add(cc.tkt);
            }
        }
 		delete del;  
		getsummarylist();
        return null;
    }

//show up the dropdown for user to select the name   
    public List<SelectOption> getListOfUser(){
 		 
         selectOptions = new List<SelectOption>();
         selectOptions.add(new SelectOption( ' ' ,'---Select---'));
     	 Schema.DescribeFieldResult describeResult = Ticket_Effort_Category__c.Responsible__c.getDescribe();
      	List<Schema.PicklistEntry> pickListEntries = describeResult.getPicklistValues();
            
      	for( Schema.PicklistEntry eachEntry : pickListEntries) {
         selectOptions.add(new SelectOption(eachEntry.getLabel(), eachEntry.getValue()));    
      	}
        return selectOptions;
        
	}
}