CheckBox:

The check box has two states: Checked and UnChecked. It inherits from TextView so it has all of its properties:
<?xml version="1.0" encoding="utf-8"?>
<LinearLayout xmlns:android="http://schemas.android.com/apk/res/android"
    android:orientation="vertical"
    android:layout_width="fill_parent"
    android:layout_height="fill_parent"
    >
    <TextView
    android:layout_width="fill_parent" 
    android:layout_height="wrap_content"
    android:id="@+id/txt"
    />
    <CheckBox
    android:layout_width="fill_parent" 
    android:layout_height="wrap_content"
    android:id="@+id/Chk"
    android:text="This is a check box"
    android:checked="false"
    
    />
</LinearLayout>



and to handle the check/uncheck event:
CheckBox chk=(CheckBox)findViewById(R.id.Chk);
        chk.setOnCheckedChangeListener(new OnCheckedChangeListener()
        {

   public void onCheckedChanged(CompoundButton arg0, boolean arg1) {
    TextView txt=(TextView)findViewById(R.id.txt);
    if (arg1)
     txt.setText("checked");
    else
     txt.setText("Unchecked");
    
   }
         
        }
        );


RadioButton:
Android provides Radio button control. You create a RadioGroup and add RadioButtons inside it.
<?xml version="1.0" encoding="utf-8"?>
<LinearLayout xmlns:android="http://schemas.android.com/apk/res/android"
    android:orientation="vertical"
    android:layout_width="fill_parent"
    android:layout_height="fill_parent"
    >
    <TextView
    android:id="@+id/txt"
    android:layout_width="fill_parent"
android:layout_height="fill_parent"
    />
   <RadioGroup
   android:id="@+id/group"
android:layout_width="fill_parent"
android:layout_height="fill_parent"
android:text="Radio Group"
>
<RadioButton android:id="@+id/item1"
android:layout_width="wrap_content"
android:layout_height="wrap_content"
android:text="Item1"
android:checked="true"
 />
<RadioButton android:id="@+id/item2"
android:layout_width="wrap_content"
android:layout_height="wrap_content"
android:text="Item2" />
<RadioButton android:id="@+id/item3"
android:layout_width="wrap_content"
android:layout_height="wrap_content"
android:text="Item3" />
</RadioGroup>
</LinearLayout>




You can get the checked item from code like this:
RadioGroup rg=(RadioGroup)findViewById(R.id.group);
        rg.setOnCheckedChangeListener(new android.widget.RadioGroup.OnCheckedChangeListener()
        {

   public void onCheckedChanged(RadioGroup arg0, int arg1) {
    // TODO Auto-generated method stub
    TextView txt=(TextView)findViewById(R.id.txt);
    RadioButton rb=(RadioButton)findViewById(arg1);
    txt.setText("You selected "+rb.getText());
    
   }
         
        }
        );