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 matrix correlation between weights of discarded paper and glass? Use a significance level of a = 0.05. Click here to view a table of critical values for the correlation coefficient. Variables Paper Glass Paper 10.0777 Glass 0.0777 Determine the null and alternative hypotheses. H₂: 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.) OA. There are two critical values at r= . OB. There is one critical value at r=- 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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Table of Critical Values
n
n
456789 ONSDAG 4
10
11
12
13
14
15
16
17
18
19
20
25
30
35
40
45
50
60
70
80
90
100
α = .05
.950
.878
.811
.754
.707
.666
.632
.602
.576
.553
.532
.514
.497
.482
.468
.456
.444
.396
.361
.335
.312
.294
.279
254
.236
.220
.207
.196
α = .01
.990
.959
.917
.875
.834
.798
.765
.735
.708
.684
.661
.641
.623
.606
.590
.575
.561
.505
.463
.430
.402
.378
.361
.330
.305
.286
.269
.256
NOTE: To test Ho: p = 0 against H₁: p = 0,
reject Ho if the absolute value of r is
greater than the critical value in the table.
I
Transcribed Image Text:Table of Critical Values n n 456789 ONSDAG 4 10 11 12 13 14 15 16 17 18 19 20 25 30 35 40 45 50 60 70 80 90 100 α = .05 .950 .878 .811 .754 .707 .666 .632 .602 .576 .553 .532 .514 .497 .482 .468 .456 .444 .396 .361 .335 .312 .294 .279 254 .236 .220 .207 .196 α = .01 .990 .959 .917 .875 .834 .798 .765 .735 .708 .684 .661 .641 .623 .606 .590 .575 .561 .505 .463 .430 .402 .378 .361 .330 .305 .286 .269 .256 NOTE: To test Ho: p = 0 against H₁: p = 0, reject Ho if the absolute value of r is greater than the critical value in the table. I
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 matrix:
correlation between weights of discarded paper and glass? Use a significance level of a = 0.05.
Variables Paper Glass
10.0777
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 are two critical values at r= t
OB. There is one critical value at r =
State the conclusion.
Because the absolute value of the test statistic is
C
Paper
Glass
0.0777
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.
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 matrix: correlation between weights of discarded paper and glass? Use a significance level of a = 0.05. Variables Paper Glass 10.0777 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 are two critical values at r= t OB. There is one critical value at r = State the conclusion. Because the absolute value of the test statistic is C Paper Glass 0.0777 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.
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