Check_box and radio_button for form_helper in rails - ruby-on-rails

Question

I went through the rails documentation of rails, and could not find anywhere that gave me information about check_box or radio_button to deal with the model objects.
= f.radio_button(:recurring_status, true)
= f.label :recurring_status, "Yes?"
= f.radio_button(:recurring_status, false)
= f.label :recurring_status_false, "No?"
I tried this with the radio_button, but the value is just not passing from the form in the params. Same case with the check_box.
Can someone please explain to me why this is happening, and also why rails has not specified the uses of check_box and radio_button with Model Objects.
Also,
<%= check_box_tag(:pet_dog) %>
<%= label_tag(:pet_dog, "I own a dog") %>
<%= check_box_tag(:pet_cat) %>
<%= label_tag(:pet_cat, "I own a cat") %>
<input id="pet_dog" name="pet_dog" type="checkbox" value="1" />
<label for="pet_dog">I own a dog</label>
<input id="pet_cat" name="pet_cat" type="checkbox" value="1" />
<label for="pet_cat">I own a cat</label>
This is the example given in the offical documentation, both the checkbox have the same value as '1'. It's quite hard to understand what is happening here.

Answer 1

https://api.rubyonrails.org/v5.1.7/classes/ActionView/Helpers/FormOptionsHelper.html check this out.
collection_check_boxes(:post, :author_ids, Author.all, :id, :name_with_initial)
=> <input id="post_author_ids_1" name="post[author_ids][]" type="checkbox" value="1" checked="checked" />
<label for="post_author_ids_1">D. Heinemeier Hansson</label>
<input id="post_author_ids_2" name="post[author_ids][]" type="checkbox" value="2" />
<label for="post_author_ids_2">D. Thomas</label>
<input id="post_author_ids_3" name="post[author_ids][]" type="checkbox" value="3" />
<label for="post_author_ids_3">M. Clark</label>
<input name="post[author_ids][]" type="hidden" value="" />
collection_radio_buttons(:post, :author_id, Author.all, :id, :name_with_initial)
=> <input id="post_author_id_1" name="post[author_id]" type="radio" value="1" checked="checked" />
<label for="post_author_id_1">D. Heinemeier Hansson</label>
<input id="post_author_id_2" name="post[author_id]" type="radio" value="2" />
<label for="post_author_id_2">D. Thomas</label>
<input id="post_author_id_3" name="post[author_id]" type="radio" value="3" />
<label for="post_author_id_3">M. Clark</label>
collection_select(:post, :category_id, Category.all, :id, :name, {disabled: -> (category) { category.archived? }})
=> <select name="post[category_id]" id="post_category_id">
<option value="1" disabled="disabled">2008 stuff</option>
<option value="2" disabled="disabled">Christmas</option>
<option value="3">Jokes</option>`enter code here`
<option value="4">Poems</option>
</select>