Listed below are numbers of Internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. Construct ascatterplot, 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 78.1 79.0 56.2 67.4 76.7 38.8 Award Winners 5.5 9 3.4 1.7 10.8 0.1 Construct a scatterplot. The linear correlation coefficient is r= (Round to three decimal places as needed.) Determine the null and alternative hypotheses. H0: ρ equals equals less than< greater than> not equals 00 H1: ρ not equals greater than> equals= less than< not equals≠ (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 greater than less than or equal to the significance level, there is not is sufficient evidence to support the claim that there is a linear correlation between Internet users and scientific award winners.

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 15PPS

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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 ascatterplot, 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	78.1	79.0	56.2	67.4	76.7	38.8
Award Winners	5.5	9	3.4	1.7	10.8	0.1

Construct a scatterplot.

The linear correlation coefficient is

(Round to three decimal places as needed.)

Determine the null and alternative hypotheses.

H0:

equals

less than<

greater than>

not equals

H1:

not equals

greater than>

equals=

less than<

not equals≠

(Type integers or decimals. Do not round.)

The test statistic is

(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

greater than

less than or equal to

the significance level, there

is not

sufficient evidence to support the claim that there is a linear correlation between Internet users and scientific award winners.

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