Use the normal distribution to find a confidence interval for a difference in proportions p, - P2 given the relevant sample result Assume the results come from random samples. A 95% confidence interval for p, - p2 given counts of 465 yes out of 580 sampled for Group 1 and 206 yes out 1050 sampled fo Group 2 Give the best estimate for p - P2, the margin of error, and the confidence interval. Round your answers to three decimal places. Best estimate: i Margin of error : Confidence interval:
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!
![Use the normal distribution to find a confidence interval for a difference in proportions p
P2 given the relevant sample results.
Assume the results come from random samples.
A 95% confidence interval for p, - p, given counts of 465 yes out of 580 sampled for Group 1 and 206 yes out 1050 sampled for
Group 2
Give the best estimate for p - P2, the margin of error, and the confidence interval.
Round your answers to three decimal places.
Best estimate:
Margin of error:
Confidence interval:
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