(a) Describe the shape of the sampling distribution of . Why can we validly describe the shape? np = ( x(0.8)) = : n(1 - p) = ( x(0.2) = : The sample is not |large enough. The distribution of (p-hat) is normally distributed.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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Suppose that we will randomly select a sample of n= 93 elements from a population and that we will compute the sample proportion ?
of these elements that fall into a category of interest. If the true population proportion p equals .8:
(a) Describe the shape of the sampling distribution of . Why can we validly describe the shape?
np = (
x(0.8)) =
n(1 - p) = (
x (0.2)) =
The sample
is not
large enough.
The distribution of (p-hat)
is
vinormally distributed.
Transcribed Image Text:Suppose that we will randomly select a sample of n= 93 elements from a population and that we will compute the sample proportion ? of these elements that fall into a category of interest. If the true population proportion p equals .8: (a) Describe the shape of the sampling distribution of . Why can we validly describe the shape? np = ( x(0.8)) = n(1 - p) = ( x (0.2)) = The sample is not large enough. The distribution of (p-hat) is vinormally distributed.
(b) Find the mean and the standard deviation of the sampling distribution of . (Round the answers to 2 decimal places.)
p
o(p-hat)
Transcribed Image Text:(b) Find the mean and the standard deviation of the sampling distribution of . (Round the answers to 2 decimal places.) p o(p-hat)
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