Loss of smell and taste is a common symptom of COVID-19. Suppose we surveyed 6 symptomatic Larimer County residents that tested positive for COVID-19 and asked them to estimate the proportion of their 14-day quarantine that they experienced loss of smell and taste. We decide to model the proportion of the 14 days with loss of smell and taste for each person as coming from a Beta(1,a) distribution. We wish to use a Wald test to assess Ho : a = 3 versus H. : a # 3. %3D Suppose the 6 participants report the following proportions: 0.25, 0.33, 0.35, 0.10, 0.21, 0.10 What is the p-value for the Wald test?
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Step by step
Solved in 3 steps with 1 images
