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.) Correlation matrix: Variables Paper Glass 10.3789 1 Paper Glass 0.3789

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Table of Critical Values
n
456789 ON SF46584
10
11
12
13
14
15
16
17
18
19
20
25
30
35
40
50
60
70
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
80
90
100
NOTE: To test Ho: p = 0 against H₁: p = 0,
reject Ho if the absolute value of ris
greater than the critical value in the table.
.286
.269
.256
Transcribed Image Text:Table of Critical Values n 456789 ON SF46584 10 11 12 13 14 15 16 17 18 19 20 25 30 35 40 50 60 70 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 80 90 100 NOTE: To test Ho: p = 0 against H₁: p = 0, reject Ho if the absolute value of ris greater than the critical value in the table. .286 .269 .256
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 a = 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.)
Correlation matrix:
Variables Paper Glass
10.3789
Paper
Glass
0.3789
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 a = 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.) Correlation matrix: Variables Paper Glass 10.3789 Paper Glass 0.3789
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