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 α = 0.05. Click here to view a table of critical values for the correlation coefficient. 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.) A. There are two critical values at r= t OB. There is one critical value at r= State the conclusion. Because the absolute value of the test statistic is the positive critical value, there there is a linear correlation between the weights of discarded paper and glass for a significance level of α = 0.05. Correlation ma Variables Pa Paper Glass 0.0 sufficient evidence to support the

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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 between weights of discarded paper and glass? Use a significance level of α = 0.05.

Click here to view a table of critical values for the correlation coefficient.

---

Determine the null and alternative hypotheses.

\( H_0 : \rho \)

\( H_1 : \rho \)

(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.)

- A. There are two critical values at \( r = \pm \).

- 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 \( \alpha = 0.05 \).

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**Correlation matrix:**

| Variables | Paper     | Glass     |
|-----------|-----------|-----------|
| Paper     | 1         | 0.0751    |
| Glass     | 0.0751    | 1         |
Transcribed Image Text: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 α = 0.05. Click here to view a table of critical values for the correlation coefficient. --- Determine the null and alternative hypotheses. \( H_0 : \rho \) \( H_1 : \rho \) (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.) - A. There are two critical values at \( r = \pm \). - 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 \( \alpha = 0.05 \). --- **Correlation matrix:** | Variables | Paper | Glass | |-----------|-----------|-----------| | Paper | 1 | 0.0751 | | Glass | 0.0751 | 1 |
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