Listed below are 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 a = 0.05. Internet Users 81.0 78.2 57.2 66.6 78.2 38.8 Award Winners 5.5 8.7 3.3 1.6 11 0.1 Construct a scatterplot. Choose the correct graph below. O A. 12- H Internet Users 90 Q Q G 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.) Because the P-value of the linear correlation coefficient is OB. Internet Users G the significance level, there OC. 12- 30 Internet Users Q sufficient evidence to support the claim that there is a linear correlation between Internet users and scientific award winners. OD. 30 Internet Users Q

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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Listed below are 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.
Internet Users
81.0 78.2 57.2
Award Winners 5.5 8.7 33
Construct a scatterplot. Choose the correct graph below.
O A.
Internet Users
G
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.)
66.6 78.2
1.6
11
The test statistic is t =
(Round to two decimal places as needed.)
The P-value is
(Round to three decimal places as needed.)
Because the P-value of the linear correlation coefficient is
38.8₁
0.1
O B.
+
|||||
Internet Users
S
90
✔
the significance level, there
O C.
12
30
Internet Users
Ⓒ
GO
sufficient evidence to support the claim that there is a linear correlation between Internet users and scientific award winners.
O D.
30
Internet Users
Q
G
Transcribed Image Text:Listed below are 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. Internet Users 81.0 78.2 57.2 Award Winners 5.5 8.7 33 Construct a scatterplot. Choose the correct graph below. O A. Internet Users G 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.) 66.6 78.2 1.6 11 The test statistic is t = (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) Because the P-value of the linear correlation coefficient is 38.8₁ 0.1 O B. + ||||| Internet Users S 90 ✔ the significance level, there O C. 12 30 Internet Users Ⓒ GO sufficient evidence to support the claim that there is a linear correlation between Internet users and scientific award winners. O D. 30 Internet Users Q G
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