Q1 True or False Questions (20 points) For each question in this section, please answer either True or False. While justification is not required, it is encouraged and may allow in some cares for partial credit to be awarded. (2 points] Scientists texted a new drug and did not find evidence that it increases sleep hours for patients with insomnia. This conclusion may have been due to a type-I error. 2 points] We perform a one sample proportion text of No : p = 0.1 vs. He : p 5 with the same dataset, then we would reject My at a = 0.05. 12 points] Let a be the average rent (measured in dollars) of homes in Ithaca in 2018. Suppose a sample of 20 homes gives us a 95% confidence interval for a to be (954, 1563). If we could sample 20 homes many times, then the sample means would be in the interval (984, 1563) in 95% of the comm. [2 points] Suppose (2, 5] is a 90% confidence interval for p. Then there is a 90% probability that p is in the interval [2, 5]- (2 pointe] The p-value equals the probability that the null hypothesis is true. (2 pointe) In order to reduce the margin of error in a 95 confidence interval for mean by half, we need to roughly quadruple the sample size. [2 points] A one-sample mean test was performed with n = 10, No : A = 2, and Ha : p > 2. The sample mean is found to be = = 1.1. The p-value for this text is larger than ;. [2 pointe] The Bonferanni correction increases power for each pairwise comparison