A random sample of 1009 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 1009 adults surveyed, 534 indicated that televisions are a luxury they could do without. Complete parts (a) through (e) below Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 21. (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= 0 529 (Round to three decimal places needed.) (b) Verify that the requirements for constructing a confidence interval about p are satisfied. a simple random sample, the value of np(1-p) is 251.404, which is greater than or equal to 10, and the can be assumed to be less than or equal to 5% of the population size. The sample (Round to three decimal places as needed.) s stated to be sample size (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.) OA. There is a % probability the proportion of adults in the country who believe that televisions are a luxury they could do without is betweenand B. We are 95 % confident the proportion of adults in the country who believe that televisions are a luxury they could do without is between 0.498 and 0.560 (d) is it possible that a supermajority (more than 60%) of adults in the country believe that television is a luxury they could do without? Is it likely? It is possible, but not likely that a supermajority of adults in the country believe that television is a luxury they could do without because the 95% confidence interval does not contain 0.6 (Type an integer or a decimal. Do not round.) (e) Use the results of part (c) to construct a 95% confidence interval for the population proportion adults in the country who believe that televisions are a necessity. Lower boundD Upper bound:O (Round to three decimal places as needed.)
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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