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 =0.05. Click here to view a table of critical values for the correlation coefficient. LOADING...	Correlation matrix:
Variables	Paper	Glass
Paper	1	0.1558
Glass	0.1558	1

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Part 1

Determine the null and alternative hypotheses.

H0:

greater than>

equals=

less than<

not equals

enter your response here

H1:

greater than>

equals=

less than<

not equals

enter your response here

(Type integers or decimals. Do not round.)

Part 2

Identify the test statistic, r.

r=enter your response here

(Round to three decimal places as needed.)

Part 3

Identify the critical value(s).

(Round to three decimal places as needed.)

A.

There is one critical value at

r=enter your response here.

B.

There are two critical values at

r=enter your response here.

Part 4

State the conclusion.

Because the absolute value of the test statistic is

greater than

less than or equal to

the positive critical value, there

is

is not

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

=0.05.

paper glass

paper 1 .01558

glass .1558 1