sample of 1250 current BBA members reveals that 962 are in favor of the merger proposal. Construct a 99% confidence for the true proportion of BBA members in favor of the proposal.
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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Given data:
A sample of current BBA members is taken, n = 1250
Number of BBA members who are in favor of merger proposal, x = 962.
Degree of confidence, c = 99%
Level of significance is:
Let p be the true proportion of BBA members of the population.
Let be the estimated proportion of BBA members.
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