Suppose X~N (μ,σ') then X – H - - N (0, 1) o2 O True O False

Suppose that you have designed a new machine learning model for a binary classification task and would like to evaluate the error rate of this classifier. a. If your proposed model has an error rate of 9.7% on a balanced test dataset with 100 samples in total, construct a 95% confidence interval for the error rate of your classifier. b. Suppose that a state-of-the-art classifier has a reported error rate of 12% for this task. How many samples from the same test dataset should be correctly classified by your model before you can claim that your proposed model has a statistically better error rate than the state-of-the-art at a significance level of 0.05? c. Find the power of the above test if the true error rate of your model is 9%.

2. Prove that var (ax + by) = a² var (x) + b² var(y) + 2ab cov(x, y)

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