(4) Estimate the standard error of the sampling distribution. 3 (5) If we took samples of size 1000 instead of 500, and used the sample proportions to estimate the population proportion: (a) Would the estimates be more accurate or less accurate? (b) Would the standard error be larger or smaller?
(4) Estimate the standard error of the sampling distribution. 3 (5) If we took samples of size 1000 instead of 500, and used the sample proportions to estimate the population proportion: (a) Would the estimates be more accurate or less accurate? (b) Would the standard error be larger or smaller?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
Related questions
Question
Only #4 and #5 please show work on paper and circle answers
![A sampling distribution is shown for the proportion of US citizens over 15 years old who have never
been married, using the data from the 2010 US Census and random samples of size n = 500.
0.26 0.28
(1) What does one dot in the dotplot represent?
0.30
0.32
0.34
0.36
(2) Use the sampling distribution to estimate the proportion of all US citizens over 15 years old
who have never been married. Give correct notation for your answer.
0.38
(3) If we take a random sample of 500 US citizens over 15 years old and compute the proportion
of the sample who have never been married, indicate how likely it is that we will see that
result for each sample proportion below.
p=0.30 p=0.20 p=0.37 p = 0.74
(4) Estimate the standard error of the sampling distribution.
(b) Would the standard error be larger or smaller?
3
(5) If we took samples of size 1000 instead of 500, and used the sample proportions to estimate
the population proportion:
(a) Would the estimates be more accurate or less accurate?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F055086f6-4d26-404b-b10d-4e78791428d4%2F92a812fd-8309-444e-b732-514837968aa3%2Fo5hh8ee_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A sampling distribution is shown for the proportion of US citizens over 15 years old who have never
been married, using the data from the 2010 US Census and random samples of size n = 500.
0.26 0.28
(1) What does one dot in the dotplot represent?
0.30
0.32
0.34
0.36
(2) Use the sampling distribution to estimate the proportion of all US citizens over 15 years old
who have never been married. Give correct notation for your answer.
0.38
(3) If we take a random sample of 500 US citizens over 15 years old and compute the proportion
of the sample who have never been married, indicate how likely it is that we will see that
result for each sample proportion below.
p=0.30 p=0.20 p=0.37 p = 0.74
(4) Estimate the standard error of the sampling distribution.
(b) Would the standard error be larger or smaller?
3
(5) If we took samples of size 1000 instead of 500, and used the sample proportions to estimate
the population proportion:
(a) Would the estimates be more accurate or less accurate?
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Would the sampling distribution be wider or narrower?
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