Which distribution should you use for this problem? (Round your answer to four decimal places.) P' ~ Construct a 95% confidence interval for the population proportion who claim they always buckle up. (i) State the confidence interval. (Round your answers to four decimal places.) , (ii) Sketch the graph. (iii) Calculate the error bound. (Round your answer to four decimal places.)
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!
Suppose that insurance companies did a survey. They randomly surveyed 440 drivers and found that 350 claimed they always buckle up. We are interested in the population proportion of drivers who claim they always buckle up.NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is
Which distribution should you use for this problem? (Round your answer to four decimal places.)
(ii) Sketch the graph.
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