A survey of 2320 adults in a certain large country aged 18 and older conducted by a reputable polling organization found that 409 have donated blood in the past two years. Complete parts (a) through (c) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) Obtain a point estimate for the population proportion of adults in the country aged 18 and older who have donated blood in the past two years. (Round to three decimal places as needed.) (b) Verify that the requirements for constructing a confidence interval about p are satisfied. a simple random sample, the value of less than or equal to 5% of the The sample , which is 10, and the (Round to three decimal places as needed.) (c) Construct and interpret a 90% confidence interval for the population proportion of adults in the country who have donated blood in the past two years. Select the correct choice below and fill in any answer boxes within your choice. (Type integers or decimals rounded to three decimal places as needed. Use ascending order.) O A. There is a% probability the proportion of adults in the country aged 18 and older who have donated blood in the past two years is between O B. We are % confident the proportion of adults in the country aged 18 and older who have donated blood in the past two years is between and and
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!
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