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Hogwarts School of Witchcraft and Wizardry (Hogwarts) is a prestigious school for young witches and wizards. At Hogwarts, students are sorted into four houses

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Hogwarts School of Witchcraft and Wizardry (Hogwarts) is a prestigious school for young witches and wizards. At Hogwarts, students are sorted into four houses when they arrive (Gryffindor, Hufflepuff, Ravenclaw, and Slytherin). Students attend Hogwarts for seven years, and beginning in their Third Year, they choose between 6 electives: Ancient Runes, Apparition, Arthmancy, Care of Magical Creatures, Divination, and Muggle Studies. An analyst at the Department of Magical Education in the Ministry of Magic conducted a study to assess if there is a relationship between house and favorite elective among all students who attended Hogwarts. To do this, the analyst took a random sample of witches and wizards who attended Hogwarts and asked them what house they belonged to and what their favorite elective was. The data are summarized below: House Elective Gryffindor Hufflepuff Ravenclaw Slytherin Total Ancient Runes 12 12 25 Apparition 20 20 20 Arithmancy 22 11 20 Care of Magical Creatures 15 30 15 Divination 26 17 15 Muggle Studies 20 21 19 Total 115 111 114 2236228 10 59 82 76 66 19 77 10 70 90 430

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