of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance lew Internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. Construct a scatterplot, find the valu of a = 0.05. Click to view the data on Internet users and scientific award winners. UA. 40- 32- 24- 16- 8- 0+ 0 20 40 60 80 100 Internet Users Q Q he linear correlation coefficient is r=. Round to three decimal places as needed.) etermine the null and alternative hypotheses. =P P pe integers or decimals. Do not round.) test statistic is t= nd to two decimal places as needed.) P-value is and to three decimal places as needed.) CD. 40- 32 24- 16 84 0- 0 20 40 60 80 100 Internet Users se the P-value of the linear correlation coefficient is et users and scientific award winners. L Q 2 L C. Award Winners 40 32- 24- 16- 8- 0+ ++++ 0 20 40 60 80 100 Internet Users the significance level, there Q Q UU. Award Winners 40 32 24-24 D 16++ Q 8 ott 0+++++ 0 20 40 60 80 100 Internet Users sufficient evidence to support the claim that there is a linear correlatio

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
Problem 11CT
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Question
K
The accompanying table lists the numbers of Internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. Construct a scatterplot, find the value
of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level
of α = 0.05.
Click to view the data on Internet users and scientific award winners.
UA.
Award Winners
40-
32-
24-
16-
8-
0+
0 20 40 60 80 100
Internet Users
M
T
1
D
L
The linear correlation coefficient is r=
(Round to three decimal places as needed.)
Determine the null and alternative hypotheses.
Ho: P
H₁: P
(Type integers or decimals. Do not round.)
The test statistic is t =
(Round to two decimal places as needed.)
The P-value is
(Round to three decimal places as needed.)
UB.
Award Winners
43468
40-
Because the P-value of the linear correlation coefficient is
Internet users and scientific award winners.
32-
24-
16-
0-
0 20 40 60 80 100
Internet Users
Q
Award Winners
40-
32-
24-
16-
0-
0 20 40 60 80 100
Internet Users
the significance level, there
O
G
CD.
Award Winners
40-
32-
24-
16-
8-
0+
0 20 40 60 80 100
Internet Users
sufficient evidence to support the claim that there is a linear correlation between
Transcribed Image Text:K The accompanying table lists the numbers of Internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of α = 0.05. Click to view the data on Internet users and scientific award winners. UA. Award Winners 40- 32- 24- 16- 8- 0+ 0 20 40 60 80 100 Internet Users M T 1 D L The linear correlation coefficient is r= (Round to three decimal places as needed.) Determine the null and alternative hypotheses. Ho: P H₁: P (Type integers or decimals. Do not round.) The test statistic is t = (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) UB. Award Winners 43468 40- Because the P-value of the linear correlation coefficient is Internet users and scientific award winners. 32- 24- 16- 0- 0 20 40 60 80 100 Internet Users Q Award Winners 40- 32- 24- 16- 0- 0 20 40 60 80 100 Internet Users the significance level, there O G CD. Award Winners 40- 32- 24- 16- 8- 0+ 0 20 40 60 80 100 Internet Users sufficient evidence to support the claim that there is a linear correlation between
umbers of Internet users per 100 people and numbers of scientific award winners per 10 million people
r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear c
net users and scientific award winners.
Internet Users versus Award Winners
Internet Users
(per 100)
correlation coefficient is
d winners.
76.6
79.3
78.0
40.2
82.0
38.8
92.3
87.8
83.9
79.2
56.3
72.8
Print
Award Winners
(per 10 million)
6.7
23.4
8.2
0.5
6.1
0.5
25.1
7.8
8.2
11.8
3.2
11.3
Done
the significance level, there
X
sufficient evidence
Transcribed Image Text:umbers of Internet users per 100 people and numbers of scientific award winners per 10 million people r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear c net users and scientific award winners. Internet Users versus Award Winners Internet Users (per 100) correlation coefficient is d winners. 76.6 79.3 78.0 40.2 82.0 38.8 92.3 87.8 83.9 79.2 56.3 72.8 Print Award Winners (per 10 million) 6.7 23.4 8.2 0.5 6.1 0.5 25.1 7.8 8.2 11.8 3.2 11.3 Done the significance level, there X sufficient evidence
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