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 Correlation matrix: 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 0.2027 Glass 0.2027 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 Vsufficient 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.In an experiment, college students were given either four quarters or a $1 bill and they could either keep the money or spend it on gum. The results are summarized in the table. Complete parts (a) through (c) below. Purchased Gum Kept the Money % Students Given Four Quarters 26 15 Students Given a 51 Bill 12 30 a. Find the probability of randomly selecting a student who spent the money, given that the student was given a $1 bill. The probability is (Round to three decimal plaoes as needed.) b. Find the probability of randomly selecting a student who kept the money, given that the student was given a $1 bill. The probability is . (Round to three decimal places as needed.) c. What do the preceding results suggest? O A. A student given a $1 bill is more likely to have spent the money than a student given four quarters. O B. Astudent given a $1 bill is more likely to have kept the money than a student given four quarters. O c. Astudent given a $1 bill is more likely to have spent the money. 0 D. Astudent given a $1 bill is more likely to have kept the money