Salesforce Updating Checkbox value on change event - checkbox

Question

Here hidden_field__c is a checkbox.
When in the VFP if user changes the checkbox to true in the database it still shows as false and vice-versa
Can someone please point out what's missing in my code.?
This is my code.
-----------controller --------------
public class dataTableCon {
List<Account> accounts;
public List<Account> getAccounts() {
if(accounts == null) accounts = [select name, owner.name,hidden_field__c from account limit 10];
return accounts;
}
}
---------VFP-------------
<apex:page controller="dataTableCon" id="page">
<apex:form >
<apex:pageBlock id="theBlock">
<apex:dataTable value="{!accounts}" var="account" id="theTable" rowClasses="odd,even" styleClass="tableClass">
<apex:column >
<apex:facet name="header">Private</apex:facet>
<apex:inputCheckbox value="{!account.hidden_field__c}" >
<apex:actionSupport event="onchange" rerender="theBlock"/>
</apex:inputCheckbox>
</apex:column>
<apex:column >
<apex:facet name="header">Name</apex:facet>
<apex:outputText value="{!account.name}" >
</apex:column>
<apex:column >
<apex:facet name="header">Owner</apex:facet>
<apex:outputText value="{!account.owner.name}" >
</apex:column>
</apex:dataTable>
</apex:pageBlock>
</apex:form>
</apex:page>

Answer 1

You need to have some mechanism that actually saves the changes. Try adding an <apex:commandButton> inside your <apex:form>, and then have that button call an action that saves.
Apex:
public PageReference save()
{
update accounts;
}
Visualforce:
<apex:commandButton value="Save" action="{!save}"/>