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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

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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 matrix: 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 0.0975 Glass 0.0975 Determine the null and alternative hypotheses. Ho: P VO (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= + O B. 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.Table of critical values n =.05 = .01 950 990 .878 959 .811 917 754 .875 707 .834 666 .798 .632 765 .602 .735 12 .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 256NOTE: 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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