2 (5) The dotplot below is a sampling distribution of sample proportions from random samples of size n = 200 from a population. Sampling Dotplot of Proportion. (a) 80 70 60 50 40 30 20 10 0.100 P= Left Tail Two Tail Right Tail 0.125 0.150 0.175 0.200 0.225 0.250 samples-1000 mean-0.199 std. error-0.028 0.275 Use the dotplot to estimate the value of the population proportion. p = 0.213, 1 (b) Use the 95% rule and the standard error SE= 0.028 to give an interval which contains roughly 95% of the sample proportions in the sampling distribution. (c) If the samples instead had size n = 50, what effect would this have on the mean and standard error of the sampling distribution? (d) Are the following sample proportions reasonably likely to occur, fairly un- likely to occur, or extremely unlikely to occur? p = 0.005, p= 0.276

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Please help and show work on paper only need A and C
(5)
The dotplot below is a sampling distribution of sample proportions from random samples
of size n = 200 from a population.
Sampling Dotplot of Proportion
Left Tail Two Tall Right Tail
(a)
80
70
60
50
40
30
20
10
0.100
P=
0.125
0.150
0.225
0.250
samples-1000
mean-0.199
std error-0.028
0.275
1
0.175
0.200
0.199
Use the dotplot to estimate the value of the population proportion.
(b)
Use the 95% rule and the standard error SE= 0.028 to give an interval
which contains roughly 95% of the sample proportions in the sampling distribution.
(c)
If the samples instead had size n = 50, what effect would this have on the
mean and standard error of the sampling distribution?
(d)
Are the following sample proportions reasonably likely to occur, fairly un-
likely to occur, or extremely unlikely to occur?
p = 0.005,
p = 0.213,
p = 0.276
Transcribed Image Text:(5) The dotplot below is a sampling distribution of sample proportions from random samples of size n = 200 from a population. Sampling Dotplot of Proportion Left Tail Two Tall Right Tail (a) 80 70 60 50 40 30 20 10 0.100 P= 0.125 0.150 0.225 0.250 samples-1000 mean-0.199 std error-0.028 0.275 1 0.175 0.200 0.199 Use the dotplot to estimate the value of the population proportion. (b) Use the 95% rule and the standard error SE= 0.028 to give an interval which contains roughly 95% of the sample proportions in the sampling distribution. (c) If the samples instead had size n = 50, what effect would this have on the mean and standard error of the sampling distribution? (d) Are the following sample proportions reasonably likely to occur, fairly un- likely to occur, or extremely unlikely to occur? p = 0.005, p = 0.213, p = 0.276
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