ta set includes weights of garbage discarded in one week from 62 different seholds. The paired weights of paper and glass were used to obtain the results wn to the right. Is there sufficient evidence to support the claim that there is a ir correlation between weights of discarded paper and glass? Use a ficance level of a = 0.05. here to view a table of critical values for the correlation coefficient. rmine the null and alternative hypotheses. e integers or decimals. Do not round.) ify the test statistic, r. (Round to three decimal places as needed.) ify the critical value(s). nd to three decimal places as needed.) There is one critical value at r= There are two critical values at r= + Correlation matrix: Variables Paper Glass 10.3298 1 Paper Glass 0.3298 the conclusion. use the absolute value of the test statistic is the positive critical value, there sufficient evidence to support the claim that there is a linear correlation between the weights of rded paper and glass for a significance level of α = 0.05.

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 24PFA
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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).
(Round to three decimal places as needed.)
O A. There is one critical value at r=.
OB. There are two critical values at r= ±
Correlation matrix:
Variables Paper Glass
10.3298
Paper
Glass
0.3298
State the conclusion.
Because the absolute value of the test statistic is
the positive critical value, there
sufficient evidence to support the claim that there is a linear correlation between the weights of
discarded paper and glass for a significance level of a = 0.05.
1
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). (Round to three decimal places as needed.) O A. There is one critical value at r=. OB. There are two critical values at r= ± Correlation matrix: Variables Paper Glass 10.3298 Paper Glass 0.3298 State the conclusion. Because the absolute value of the test statistic is the positive critical value, there sufficient evidence to support the claim that there is a linear correlation between the weights of discarded paper and glass for a significance level of a = 0.05. 1
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