ight. Is there sufficient evidence to support the claim that there is a linear correlation #5. iew a table of critical values for the correlation coefficient. null and alternative hypotheses.

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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A data set includes weights of garbage discarded in one week from 62 different households. The paired weights of paper and glass were used to obtain the results
shown to the right. Is there sufficient evidence to support the claim that there is a linear correlation between weights of discarded paper and glass? Use a significance
level of α = 0.05.
Click here to view a table of critical values for the correlation coefficient.
Determine the null and alternative hypotheses.
Ho: P
H₁: P▼
(Type integers or decimals. Do not round.)
Identify the test statistic, r.
r= (Round to three decimal places as needed.)
Identify the critical value(s).
/Dound to three decimal nlnene ne nooded 1
C
Correlation matrix:
Variables Paper Glass
10.3527
1
Paper
Glass 0.3527
Transcribed Image Text:A data set includes weights of garbage discarded in one week from 62 different households. The paired weights of paper and glass were used to obtain the results shown to the right. Is there sufficient evidence to support the claim that there is a linear correlation between weights of discarded paper and glass? Use a significance level of α = 0.05. Click here to view a table of critical values for the correlation coefficient. Determine the null and alternative hypotheses. Ho: P H₁: P▼ (Type integers or decimals. Do not round.) Identify the test statistic, r. r= (Round to three decimal places as needed.) Identify the critical value(s). /Dound to three decimal nlnene ne nooded 1 C Correlation matrix: Variables Paper Glass 10.3527 1 Paper Glass 0.3527
Identify the critical value(s).
(Round
OA. There is one critical value at r=
OB. There are two critical values at r= +
to three decimal places as needed.)
State the conclusion.
Because the absolute value of the test statistic is
the positive critical value, there
the weights of discarded paper and glass for a significance level of α = 0.05.
▼sufficient evidence to support the claim that there is a linear correlation between
Transcribed Image Text:Identify the critical value(s). (Round OA. There is one critical value at r= OB. There are two critical values at r= + to three decimal places as needed.) State the conclusion. Because the absolute value of the test statistic is the positive critical value, there the weights of discarded paper and glass for a significance level of α = 0.05. ▼sufficient evidence to support the claim that there is a linear correlation between
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