A random sample of 1002 adults in a certain large country was asked "Do you pretty much think televisions are a necessity or a luxury you could do without?" Of the 1002 adults surveyed, 514 indicated that televisions are a luxury they could do without. Complete the question. (a) Obtain a point estimate for the population proportion of adults in the country who believe that televisions are a luxury they could do without. p=nothing (Round to three decimal places as needed.) (b) Verify that the requirements for constructing a confidence interval about p are satisfied. The sample ▼ can be assumed to be is stated to be is stated to not be cannot be assumed to be a simple random sample, the value of ▼ n ModifyingAbove p with caret left parenthesis 1 minus ModifyingAbove p with caret right parenthesisnp1−p ModifyingAbove p with caret left parenthesis 1 minus ModifyingAbove p with caret right parenthesisp1−p nn n ModifyingAbove p with caretnp ModifyingAbove p with caretp is nothing, which is ▼ less than greater than or equal to 10, and the ▼ sample proportion sample size population proportion population size ▼ is stated to be cannot be assumed to be can be assumed to be is stated to not be less than or equal to 5% of the ▼ population size. sample size. population proportion. sample proportion. (Round to three decimal places as needed.) (c) Construct and interpret a 95% confidence interval for the population proportion of adults in the country who believe that televisions are a luxury they could do without. 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.) A. We are nothing% confident the proportion of adults in the country who believe that televisions are a luxury they could do without is between nothing and nothing. B. There is a nothing% probability the proportion of adults in the country who believe that televisions are a luxury they could do without is between nothing and nothing.
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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