Provide an Appropriate Response $\mathrm { r } _ { \mathrm { S } }$

question 58

Multiple Choice

Provide an appropriate response.
-The table below lists the amounts (in dollars) spent on clothing and entertainment over the last year by 10 adults selected at random. Find the test statistic $\mathrm { r } _ { \mathrm { S } }$ , to test the hypothesis of no correlation between spending in these two areas. Use $\alpha = 0.05$ .
$\begin{array}{l|ccccc}\text { Clothing } & 395 & 480 & 485 & 390 & 470 \\\hline \text { Entertainment } & 480 & 550 & 575 & 510 & 560\end{array}$

$\begin{array}{l|ccccc}\text { Clothing } & 500 & 400 & 450 & 520 & 410 \\\hline \text { Entertainment } & 525 & 610 & 530 & 400 & 410\end{array}$

• A) \(- 0.006\)
• B) \(- 0.0192\)
• C) \(- 0.218\)
• D) \(- 0.326\)

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Definitions:

Cohesion

The force or process that unites members of a group, leading to a feeling of solidarity and unity.

Productivity

The measure of efficiency in which goods or services are produced, often evaluated in terms of output over a given period.

Aronson And Mills

Refers to researchers who developed the theory of cognitive dissonance through experiments that demonstrated how effort can influence attitude change.

Cognitive Dissonance

A psychological phenomenon where there is a feeling of discomfort caused by holding contradictory beliefs, values, or attitudes.