There are 61 students taking Arithmancy at Hogwarts. They are categorized by gender and House. The observed counts are displayed below: Slytherin Hufflepuff Gryffindor Ravenclaw Total Male 1 2 9 17 29 Female 3 - 15 7 32 Total 4 9 24 24 61 Hint: The expected counts are given below: Slytherin Hufflepuff Gryffindor Ravenclaw Male 1.90 4.28 11.41 11.41 Female 2.10 4.72 12.59 12.59 At the 1% level of significance, test the following hypotheses: Ho: Hogwarts house and gender are not associated for Arithmancy students Ha: Hogwarts house and gender are associated for Arithmancy students degrees of freedom: df = Critical value: X20.01 = (Round to 3 decimals) Observed value of the test statistic: X?obs = (Round to 1 decimal) Conclusion: We (Insert "reject" or "fail to reject") Ho. Interpretation: Sample evidence (Insert "does" or "does not") suggest that Hogwarts house and gender are associated for Arithmancy students