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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
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. | Correlation matrix: 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. Variables Paper Glass Click here to view a table of critical values for the correlation coefficient. Paper 1 0.1212 Glass 0. 1212 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 = O B. There are two critical values 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.n * =.05 1 = 01 .950 990 .878 959 .811 .917 .754 875 8 .707 .834 .666 .798 .632 .765 .602 .735 .576 .708 13 .553 684 14 .532 .661 15 .514 .641 16 .497 .623 17 .482 606 18 .468 590 19 .456 .575 20 .444 561 25 .396 505 30 .361 .463 35 .335 .430 40 .312 402 45 294 .378 50 .279 -361 60 254 -330 70 .236 -305 80 .220 286 90 .207 269 100 .196 256 NOTE: To test Hop = 0 against Hip * 0 reject Ho if the absolute value of r is greater than the critical value in the table
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