AA In anticipation of an upcoming election, officials in Rising Falls County are looking at the distance from each voter's home to that voter's nearest polling station. Assume that the population of all such distances for voters in Rising Falls County is approximately normally distributed. An article for the newspaper Keeping It Political claimed that the mean of this population is 497 You want to test this claim, so you select a random sample of Rising Falls County voters, and for each you record the distance the voter lives from their nearest polling station. Follow the steps below to construct a confidence interval for the population mean of all the distances voters in Rising Falls County live from their nearest polling station. Then state whether the confidence interval you construct contradicts the reporter's claim. (If necessary, consult a list of formulas.) () Click on "Take Sample" to see the results for your random sample. Sample se 0 Paintextmate Enter the values of the sample size, the point estimate of the mean, the sample standard deviation, and the critical value you need for your confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". 0 Critical value 0 Compute 19 Margin of er 99% confidence interval O No, the confidence interval does not contradict the claim. The mean of 4.97 km from the article is inside the 99% confidence interval. -1.330 Based on your sample, graph the confidence interval for the population mean of all the distances the voters in Rising Falls County live from their nearest polling station. No, the confidence interval does not contradict the claim. The mean of 497 km from the article is outside the 99% confidence interval. Explanation Enter the values for the lower and upper limits on the graph to show your confidence interval. . For the point (-), enter the claim 497 from the article Yes, the confidence interval contradicts the claim. The mean of 4.97 km from the article is inside the 99% confidence interval. devtatiss Yes, the confidence interval contradicts the claim. The mean of 497 km from the article is outside the w confidence interval. 2.252 LIME Critical values www-awu.aleks.com 2.552 to Does the confidence interval you constructed contradict the claim made in the article? Choose the best answer from the choices below. 11.00 16.000 5 M B 8

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Question
9:33
AA
CONFIDENCE INTERUALS AND HYPOTHESS TESTING
Constructing a confidence interval to test a claim about the
Follow the steps below to construct a 99% confidence interval for the
population mean of all the distances voters in Rising Falls County live
from their nearest polling station. Then state whether the confidence
interval you construct contradicts the reporter's claim. (If necessary,
consult a list of formulas.)
In anticipation of an upcoming election, officials in Rising Falls County
are looking at the distance from each voter's home to that voter's
nearest polling station. Assume that the population of all such distances
for voters in Rising Falls County is approximately normally distributed.
An article for the newspaper Keeping It Political claimed that the mean
of this population is 4.97 km. You want to test this claim, so you select a
random sample of 19 Rising Falls County voters, and for each you record Ⓒ
the distance the voter lives from their nearest polling station.
a
(a) Click on "Take Sample" to see the results for your random
sample.
Take Sample
Sample se
0
Point estimate:
n
Sample standard deviation
0
Compute
Enter the values of the sample size, the point estimate of the
mean, the sample standard deviation, and the critical value you
need for your 99% confidence interval. (Choose the correct critical
value from the table of critical values provided.) When you are
done, select "Compute".
Number of people
4.000
F
0.000
19
Sample mean
4.741
Standard error
4.000
Margin of error:
Explanation
99% confidence interval:
(Based on your sample, graph the 99% confidence interval for the
population mean of all the distances the voters in Rising Falls
County live from their nearest polling station.
99% confidence interval:
5.000
• Enter the values for the lower and upper limits on the graph to
show your confidence interval.
. For the point (.), enter the claim 4.97 from the article.
O No, the confidence interval does not contradict the
claim. The mean of 4.97 km from the article is inside the
99% confidence interval.
Sample standard
deviation
2.252
O No, the confidence interval does not contradict the
claim. The mean of 4.97 km from the article is outside
the 99% confidence interval.
Yes, the confidence interval contradicts the claim. The
mean of 4.97 km from the article is inside the 99%
confidence interval.
Yes, the confidence interval contradicts the claim. The
mean of 4.97 km from the article is outside the 99%
confidence interval.
Critical values
2.878
www-awu.aleks.com
X
fa-2.101
-1.734
-1.330
(Does the 99% confidence interval you constructed contradict the
claim made in the article?
Choose the best answer from the choices below.
x
8
X
Nada
5
10000
5
10.000
☎
8
Transcribed Image Text:9:33 AA CONFIDENCE INTERUALS AND HYPOTHESS TESTING Constructing a confidence interval to test a claim about the Follow the steps below to construct a 99% confidence interval for the population mean of all the distances voters in Rising Falls County live from their nearest polling station. Then state whether the confidence interval you construct contradicts the reporter's claim. (If necessary, consult a list of formulas.) In anticipation of an upcoming election, officials in Rising Falls County are looking at the distance from each voter's home to that voter's nearest polling station. Assume that the population of all such distances for voters in Rising Falls County is approximately normally distributed. An article for the newspaper Keeping It Political claimed that the mean of this population is 4.97 km. You want to test this claim, so you select a random sample of 19 Rising Falls County voters, and for each you record Ⓒ the distance the voter lives from their nearest polling station. a (a) Click on "Take Sample" to see the results for your random sample. Take Sample Sample se 0 Point estimate: n Sample standard deviation 0 Compute Enter the values of the sample size, the point estimate of the mean, the sample standard deviation, and the critical value you need for your 99% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". Number of people 4.000 F 0.000 19 Sample mean 4.741 Standard error 4.000 Margin of error: Explanation 99% confidence interval: (Based on your sample, graph the 99% confidence interval for the population mean of all the distances the voters in Rising Falls County live from their nearest polling station. 99% confidence interval: 5.000 • Enter the values for the lower and upper limits on the graph to show your confidence interval. . For the point (.), enter the claim 4.97 from the article. O No, the confidence interval does not contradict the claim. The mean of 4.97 km from the article is inside the 99% confidence interval. Sample standard deviation 2.252 O No, the confidence interval does not contradict the claim. The mean of 4.97 km from the article is outside the 99% confidence interval. Yes, the confidence interval contradicts the claim. The mean of 4.97 km from the article is inside the 99% confidence interval. Yes, the confidence interval contradicts the claim. The mean of 4.97 km from the article is outside the 99% confidence interval. Critical values 2.878 www-awu.aleks.com X fa-2.101 -1.734 -1.330 (Does the 99% confidence interval you constructed contradict the claim made in the article? Choose the best answer from the choices below. x 8 X Nada 5 10000 5 10.000 ☎ 8
9:43
AA
=
O CONFIDENCE INTERVALS AND HYPOTHESIS TESTING
Constructing a confidence interval to test a claim about ...
Do pregnant women give birth the week of their due date? A study
claims that 21% of the population of all pregnant women actually gave
birth the week of their due date. You are a researcher who wants to test
this claim, so you will select a random sample of 60 women who have
recently given birth.
Follow the steps below to construct a 95% confidence interval for the
population proportion of all pregnant women who gave birth the week of
their due date. Then state whether the confidence interval you construct
contradicts the study's claim. (If necessary, consult a list of formulas.)
(*) Click on "Take Sample" to see the results from the random
sample.
Take Sample
Sample size:
0
Point estimate:
0
Critical value:
П
Enter the values of the sample size, the point estimate of the
population proportion, and the critical value you need for your 95%
confidence interval. (Choose the correct critical value from the
table of critical values provided.) When you are done, select
"Compute".
Compute
Gave birth the week of due date
Did not give birth the week of due date
2
0.000
Standard error:
Margin of error:
—
95% confidence interval:
Fam-1.282
(b) Based on your sample, graph the 95% confidence interval for the
population proportion of all pregnant women who gave birth the
week of their due date.
95% confidence interval
• Enter the values for the lower and upper limits on the graph to
show your confidence interval.
•
For the point (-), enter the claim 0.21 from the study
PA
0500
Number Proportion
15
0.25
0.75
O No, the confidence interval does not contradict the
claim. The proportion 0.21 from the study is inside the
95% confidence interval.
45
O No, the confidence interval does not contradict the
claim. The proportion 0.21 from the study is outside the
95% confidence interval.
Yes, the confidence interval contradicts the claim. The
proportion 0.21 from the study is inside the 95%
confidence interval.
Yes, the confidence interval contradicts the claim. The
proportion 0.21 from the study is outside the 95%
confidence interval,
values
-2.576
Fasa 2.326
1.960
1.645
()Does the 95% confidence interval you constructed contradict the
claim from the study?
Choose the best answer from the choices below.
www-awu.aleks.com
1000
8
1.000
5
Nada V
$
Explo
?
8
Transcribed Image Text:9:43 AA = O CONFIDENCE INTERVALS AND HYPOTHESIS TESTING Constructing a confidence interval to test a claim about ... Do pregnant women give birth the week of their due date? A study claims that 21% of the population of all pregnant women actually gave birth the week of their due date. You are a researcher who wants to test this claim, so you will select a random sample of 60 women who have recently given birth. Follow the steps below to construct a 95% confidence interval for the population proportion of all pregnant women who gave birth the week of their due date. Then state whether the confidence interval you construct contradicts the study's claim. (If necessary, consult a list of formulas.) (*) Click on "Take Sample" to see the results from the random sample. Take Sample Sample size: 0 Point estimate: 0 Critical value: П Enter the values of the sample size, the point estimate of the population proportion, and the critical value you need for your 95% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". Compute Gave birth the week of due date Did not give birth the week of due date 2 0.000 Standard error: Margin of error: — 95% confidence interval: Fam-1.282 (b) Based on your sample, graph the 95% confidence interval for the population proportion of all pregnant women who gave birth the week of their due date. 95% confidence interval • Enter the values for the lower and upper limits on the graph to show your confidence interval. • For the point (-), enter the claim 0.21 from the study PA 0500 Number Proportion 15 0.25 0.75 O No, the confidence interval does not contradict the claim. The proportion 0.21 from the study is inside the 95% confidence interval. 45 O No, the confidence interval does not contradict the claim. The proportion 0.21 from the study is outside the 95% confidence interval. Yes, the confidence interval contradicts the claim. The proportion 0.21 from the study is inside the 95% confidence interval. Yes, the confidence interval contradicts the claim. The proportion 0.21 from the study is outside the 95% confidence interval, values -2.576 Fasa 2.326 1.960 1.645 ()Does the 95% confidence interval you constructed contradict the claim from the study? Choose the best answer from the choices below. www-awu.aleks.com 1000 8 1.000 5 Nada V $ Explo ? 8
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