A data set includes weights of garbage discarded in one week from 62 different households. The paired weights of paper and glass wereused to obtain the results shown to the right. Is there sufficient evidence to support the claim that there is a linear correlation betweenweights of discarded paper and glass? Use a significance level of a = 0.05.Correlation matrix:Variables Paper Glass|Раper10.1117Click here to view a table of critical values for the correlation coefficient.Glass0.11171Determine the null and alternative hypotheses.Ho: PH: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=B. There are two critical values at r= ±State the conclusion.Because the absolute value of the test statistic isthe positive critical value, thereV sufficient evidence to support the claim that there is alinear correlation between the weights of discarded paper and glass for a significance level of a = 0.05.

Answered: Image /qna-images/answer/85056e53-e1ba-4a84-945e-552a5ca85b70.jpgDetermine the value of test statistic. From the given output, the value of test statistic is 0.1117. Thus, the value of the test statistic is 0.112. Determine the critical values. The critical values are obtained below as follows: From the information, given that n=62 and r=0.1117 Since, there is no sample size 62 in the critical value table, the sample near to 62 is considered that is 60. From the” critical value of r table”, the critical value of r at the 0.05 significance level at the sample of size 60 is 0.250 Thus, the critical value of r is 0.250 The conclusion is obtained as shown below: Conclusion: Use the level of significance is 0.05. The critical value of r is 0.250 and the calculated value is 0.112 By rejection rule, do not reject the null hypothesis. That is, there is no sufficient evidence to support the claim that there is a linear correlation between weights of discarded paper and glass. Because the absolute value of the test statistic is less than the positive critical value, there is no sufficient to support the claim that there is a linear correlation between the weights of discarded paper and glass for a significance level of α=0.05.