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2 answers:
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Answer:
Since the sample size is large enough (n>30) and the probability of success is near to 0.5, and we have that and
we can assume that the distribution for
is normal
The population proportion have the following distribution
The mean is given by:
So then we can conclude that the best answer would be:
c. approximately Normal, with mean 0.6 and standard error 0.04899
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
represent the real population proportion of interest
represent the estimated proportion for the sample
n is the sample size required (variable of interest)
Solution to the problem
Since the sample size is large enough (n>30) and the probability of success is near to 0.5, and we have that and
we can assume that the distribution for
is normal
The population proportion have the following distribution
The mean is given by:
So then we can conclude that the best answer would be:
c. approximately Normal, with mean 0.6 and standard error 0.04899