Question

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.

Correlation​ matrix:
Variables	Paper	Glass
Paper	1	0.1382
Glass	0.1382	1

Determine the null and alternative hypotheses.

Identify the test​ statistic, r.

Make a statement about the conclusion.

Answer 1

The null and alternative hypotheses are as follows:

H0​: ρ = 0

H1: ρ ≠ 0

Thus, at 0.05 significance level, there is insufficient evidence to claim that there is a linear correlation between weights of discarded paper and​ glass.