Stratified Sampling: Suppose that the student population below is devided into four strata (base on some criterion). The table lists the students' names and the strata to which they are assigned. A sample of 70 students is needed. a) How many students are in each stratum? b) How many students from each stratum should be selected for a sample? c) Using stratified sampling method, select an actual sample of 70 students. SAMPLE SIZE Stratum Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Origninal Data Student Name Abbigail Byrd Abbigail Sheppard Adalyn Hardy Adam Hester Adeline Ponce Adelyn Sheppard Adrian Holden Aidan Aguilar Alexia Douglas Alfredo Clay Ali Hahn Alisa Peters Allyson Gonzalez Alonzo Avila Amari Benitez Amari Walters Amaya Oconnor Amiah Irwin Anabella Bridges Andres Fleming Andy Rasmussen Angelique Orr Angelo Alvarez Annabelle Landry Annie Mckinney April Cohen Arjun Maldonado Arthur Benton Aubree Snow Ayden Mueller Beau Cisneros Belen Casey Blaine Dillon Branson Best Britney Shea Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 1 Stratum 2 Stratum 2 Stratum 2 Brooklynn Woodard Byron Nielsen Cailyn Garza Caitlyn Brewer Cali Hayes Camilla Ibarra Camryn Johnson Case Estrada Casey Andersen Cason Monroe Cassie Cervantes Cassius Mccall Charlize Blair Charlize King Cheyanne Rogers Claire Baird Cloe Dennis Coby Hanna Collin Adams Conner Atkins Connor Trevino Cortez Whitney Cristina Kaiser Dakota Avila Dangelo Villegas Darnell Kirk Davis Herring Dawson Howe Derrick Obrien Derrick Wilkerson Desmond Owens Destinee Kramer Devon Martinez Diya Rose Draven Luna Duncan Wong Elise Leach Ellis Ford Emely Harrington Emerson Benton Emiliano Nash Emily Bell Emily Clements Erica Lowery Ezequiel Dougherty Finley Moses Gaige Pugh Gary Forbes Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Gerald Burton Gianna Duke Gunner Stone Gustavo Pruitt Hanna Bauer Harley Phelps Hayley Espinoza Heath Weeks Heaven Jackson Heidi Andrews India Krueger Isaac Thompson Isla Richards Itzel Garza Jacqueline Soto Jada Noble Jaime Lutz Jamari Newton Jamiya Bridges Jayvion Compton Jazmyn Conway Jimmy Bauer Joe Brady Jonah Sparks Jordon Bean Jordon Floyd Jordon Parsons Jordyn Hobbs Jovan Stone Kael Bauer Kailyn Gill Karly Hawkins Karsyn Jordan Kasey Rodgers Katelyn Meadows Kendal Dalton Kenny Weiss Kinsley Grant Kira Meadows Konner Oneal Kristen Wyatt Lamont Salazar Lawson Howell Leah Velez Leilani Avila Leslie Neal Liliana Escobar Lincoln Vaughn Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 2 Stratum 3 Stratum 3 Stratum 3 Stratum 3 Stratum 3 Stratum 3 Stratum 3 Stratum 3 Stratum 3 Stratum 3 Stratum 3 Stratum 3 Stratum 3 Stratum 3 Stratum 3 Stratum 3 Stratum 3 Stratum 3 Stratum 3 Stratum 3 Stratum 3 Stratum 3 Stratum 3 Stratum 3 Stratum 3 Stratum 3 Stratum 3 Stratum 3 Stratum 3 Stratum 3 Stratum 3 Stratum 3 Stratum 3 Stratum 3 Stratum 3 Stratum 3 Stratum 3 Stratum 3 Stratum 3 Lucille Shaw Lukas Kaufman Lyric Mccall Madyson Walls Maia Frazier Malaki Davis Mallory Weiss Mareli Bray Margaret Garner Maria Harrell Mariam Cantu Matias Neal Matthias Mccann Maximo Rocha Mayra Mathis Mekhi Henson Melissa Francis Miguel Brady Misael Murillo Naima Montes Nathanael Massey Nathanial Bass Nikhil Archer Niko Flynn Noe Blankenship Nolan Kidd Nora Meyer Omari Roberson Pranav York Rachael Allen Rachael Krueger Raymond Brown Rhianna Cole Rhys Moss Riley Reilly Roberto Cherry Ronan Barrera Rory Rasmussen Rose Stark Rubi Alvarado Rylee Lawrence Sage Barker Sage Mcclain Salma Morris Sam Mcbride Samantha Foster Samantha Valentine Sammy Estrada Stratum 3 Stratum 4 Stratum 4 Stratum 4 Stratum 4 Stratum 4 Stratum 4 Stratum 4 Stratum 4 Stratum 4 Stratum 4 Stratum 4 Stratum 4 Stratum 4 Stratum 4 Stratum 4 Stratum 4 Stratum 4 Stratum 4 Stratum 4 Stratum 4 Sean Fitzgerald Shane Massey Shelby Watts Simeon Herring Simone Huerta Stanley Peterson Stephen Leonard Steve Anderson Tiara Cross Tucker Stewart Uriel West Urijah Horton Urijah Vargas Winston Cherry Yair Garrett Yaretzi Pope Zachariah Petersen Zachary Shannon Zaid Henderson Zain Campbell Zara Conner ur strata (base on some gned. Spam or Not?: A sample below is from a population of e-mails. The first column provides information on whether the e-mail is spam (Class 1) or not spam (Class 0). A classification method was applied on the set and the second column is the classification result for the same sample of e-mails. Do the following calculations: a) Confusion Matrix b) Overall Error Rate c) Accuracy d) Class 1 Error Rate e) Class 0 Error Rate f) Sensitivity g) Specificity SpamNotSpam- SpamNotSpam Actual - Predicted Spam Not Spam Spam Not Spam Spam Spam Spam Not Spam Spam Not Spam Spam Not Spam Not Spam Spam Not Spam Spam Not Spam Not Spam Not Spam Spam Not Spam Not Spam Spam Spam Not Spam Not Spam Spam Spam Spam Spam Not Spam Not Spam Not Spam Not Spam Spam Spam Spam Spam Spam Spam Spam Not Spam Not Spam Spam Not Spam Spam Not Spam Not Spam Spam Not Spam Spam Spam Not Spam Spam Not Spam Not Spam Spam Not Spam Spam Not Spam Spam Spam Spam Spam Spam Not Spam Spam Spam Spam Spam Spam Spam Spam Not Spam Not Spam Not Spam Spam Spam Spam Spam Not Spam Spam Spam Spam Not Spam Not Spam Spam Spam Spam Not Spam Spam Not Spam Spam Not Spam Spam Not Spam Spam Spam Not Spam Not Spam Not Spam Not Spam Spam Not Spam Spam Not Spam Spam Spam Spam Spam Spam Spam Spam Spam Spam Spam Spam Not Spam Spam Not Spam Spam 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