Ratyを使用したレビュー投稿でrateカラムの保存ができない

###Ratyを使用したレビュー投稿でrateカラムの保存ができない

現在RubyonRailsを用いて本の投稿アプリを作成しています。
一通り作成した後で、Ratyでの星評価機能を追加している状態です。

新規投稿後の詳細画面で星評価が表示されず困っています。

以下該当のソースコードです。

####booksコントローラー

ruby
1class BooksController < ApplicationController
2  before_action :ensure_correct_user, only: [:edit,:update,:destroy]
3
4  def show
5    @book = Book.find(params[:id])
6    @book_comment = BookComment.new
7  end
8
9  def index
10    @books = Book.all
11    @book = Book.new
12  end
13
14  def create
15    @book = Book.new(book_params)
16    @book.user_id = current_user.id
17    if @book.save
18      redirect_to book_path(@book), notice: "You have created book successfully."
19    else
20      @books = Book.all
21      render 'index'
22    end
23  end
24
25  def edit
26  end
27
28  def update
29    if @book.update(book_params)
30      redirect_to book_path(@book), notice: "You have updated book successfully."
31    else
32      render "edit"
33    end
34  end
35
36  def destroy
37    @book.destroy
38    redirect_to books_path
39  end
40
41  private
42
43  def book_params
44    params.require(:book).permit(:title,:body)
45  end
46
47  def ensure_correct_user
48    @book = Book.find(params[:id])
49    unless @book.user_id == current_user.id
50      redirect_to books_path
51    end
52  end
53end

####schemaファイル

ruby
1# This file is auto-generated from the current state of the database. Instead
2# of editing this file, please use the migrations feature of Active Record to
3# incrementally modify your database, and then regenerate this schema definition.
4#
5# Note that this schema.rb definition is the authoritative source for your
6# database schema. If you need to create the application database on another
7# system, you should be using db:schema:load, not running all the migrations
8# from scratch. The latter is a flawed and unsustainable approach (the more migrations
9# you'll amass, the slower it'll run and the greater likelihood for issues).
10#
11# It's strongly recommended that you check this file into your version control system.
12
13ActiveRecord::Schema.define(version: 2021_12_14_040244) do
14
15  create_table "book_comments", force: :cascade do |t|
16    t.integer "book_id"
17    t.integer "user_id"
18    t.text "comment"
19    t.datetime "created_at", null: false
20    t.datetime "updated_at", null: false
21  end
22
23  create_table "books", force: :cascade do |t|
24    t.string "title"
25    t.text "body"
26    t.integer "user_id"
27    t.datetime "created_at", null: false
28    t.datetime "updated_at", null: false
29    t.float "rate"
30  end
31
32  create_table "favorites", force: :cascade do |t|
33    t.integer "user_id"
34    t.integer "book_id"
35    t.datetime "created_at", null: false
36    t.datetime "updated_at", null: false
37  end
38
39  create_table "relationships", force: :cascade do |t|
40    t.integer "follower_id"
41    t.integer "followed_id"
42    t.datetime "created_at", null: false
43    t.datetime "updated_at", null: false
44  end
45
46  create_table "users", force: :cascade do |t|
47    t.string "email", default: "", null: false
48    t.string "encrypted_password", default: "", null: false
49    t.string "reset_password_token"
50    t.datetime "reset_password_sent_at"
51    t.datetime "remember_created_at"
52    t.string "name"
53    t.text "introduction"
54    t.string "profile_image_id"
55    t.datetime "created_at", null: false
56    t.datetime "updated_at", null: false
57    t.index ["email"], name: "index_users_on_email", unique: true
58    t.index ["reset_password_token"], name: "index_users_on_reset_password_token", unique: true
59  end
60
61end
62

####投稿フォーム

html
1app/views/book/_form.html.erb
2<%= form_with model:book,local: true do |f| %>
3  <div class="form-group">
4    <%= f.label :title %>
5    <%= f.text_field :title, class: 'form-control book_title' %>
6  </div>
7  <div class="form-group">
8    <%= f.label :opinion %>
9    <%= f.text_area :body, class: 'form-control book_body' %>
10  </div>
11  <div class="form-group" id="star">
12    <%= f.label :rate %>
13    <%= f.hidden_field :rate, id: :review_star %>
14  </div>
15  <script>
16    $('#star').raty({
17      size: 36,
18      starOff: '<%= asset_path('star-off.png') %>',
19      starOn: '<%= asset_path('star-on.png') %>',
20      starHalf: '<%= asset_path('star-half.png') %>',
21      scoreName: 'book[rate]',
22      half: true,
23    });
24  </script>
25  <div class="form-group">
26    <%= f.submit class: 'btn btn-success' %>
27  </div>
28<% end %>

####投稿詳細ページ

html
1<div class='container'>
2  <div class='row'>
3    <div class='col-md-3'>
4      <h2>User info</h2>
5      <%= render 'users/info', user: @book.user %>
6      <h2 class="mt-3">New book</h2>
7      <%= render 'books/form', book: Book.new %>
8    </div>
9    <div class='col-md-8 offset-md-1'>
10  		<h2>Book detail</h2>
11  		<table class='table'>
12  		  <tr id="book_<%= @book.id %>">
13  		    <td><%= link_to user_path(@book.user) do %>
14            <%= attachment_image_tag(@book.user, :profile_image, :fill, 100, 100, fallback: "no-image-icon.jpg") %><br>
15            <%= @book.user.name %>
16            <% end %>
17          </td>
18          <td><%= link_to @book.title, book_path(@book) %></td>
19          <td><%= @book.body %></td>
20          <td class="favorite-btn"><%= render "favorites/favorite-btn",book: @book %></td>
21          <td class="comment-count"><p>コメント数: <%= @book.book_comments.count %></p></td>
22          <td id="star-rate-<%= @book.id %>"></td>
23          <script>
24            $('#star-rate-<%= @book.id %>').raty({
25              size: 36,
26              starOff: '<%= asset_path('star-off.png') %>',
27              starOn: '<%= asset_path('star-on.png') %>',
28              starHalf: '<%= asset_path('star-half.png') %>',
29              half: true,
30              readOnly: true,
31              score: <%= @book.rate %>,
32            });
33            </script>
34          <%  if @book.user == current_user %>
35            <td><%= link_to 'Edit', edit_book_path(@book), class: "btn btn-sm btn-success edit_book_#{@book.id}" %></td>
36            <td><%= link_to 'Destroy', book_path(@book), method: :delete, data: { confirm: '本当に消しますか？' }, class: "btn btn-sm btn-danger destroy_book_#{@book.id}"%></td>
37          <% end %>
38        </tr>
39      </table>
40      <table class="book_comments">
41        <%= render "book_comments/index",book: @book %>
42      </table>
43      <%= form_with model:[@book,@book_comment], remote:true do |f| %>
44        <%= f.text_area :comment,size: "90x5" %><br>
45        <%= f.submit "送信" %>
46      <% end %>
47    </div>
48  </div>
49</div>

試したこと

pry-byebugを使用し投稿後の@bookを確認してみたところ、rateカラムがnilで保存されていないことがわかりました。
しかしテーブル内ではfloat型として定義しており、
投稿フォーム内のscriptタグ内ではscoreName: 'book[rate]',と記述しているので、どこに問題があるかわからないです。

ご教授のほど、よろしくお願いいたします。