yaya111601
28.05.2021 •
Mathematics
Plz help worth 22 pt plz this is being graded
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Ответ:
And the 90% confidence interval would be given (0.454;0.510).
B. 0.4542 to 0.5105.
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".
Solution to the problem
The estimated proportion of residents in the community that support the property tax levis is given by:
The confidence interval for a proportion is given by this formula
For the 90% confidence interval the value of
and 
, with that value we can find the quantile required for the interval in the normal standard distribution.
And replacing into the confidence interval formula we got:
And the 90% confidence interval would be given (0.4542;0.5105)
B. 0.4542 to 0.5105.