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The research hypothesis posits that the more caffeine consumed by a subject, the

ID: 3040122 • Letter: T

Question

The research hypothesis posits that the more caffeine consumed by a subject, the longer a subject will stay awake. (H1: rxy > 0.) What would be concluded for r(10) = .653, p < .05?

There is no relationship between caffeine consumption and the length of time someone stays awake.

The obtained value (.653) is less than the critical value (.4973) so it can be concluded that the relationship between the two variables did not occur by something other than chance. The research hypothesis, which posits a positive relationship between the variables, is not supported.

The obtained value (.653) is greater than the critical value (.4973) so it can be concluded that the relationship between the two variables occurred by something other than chance. Furthermore, the research hypothesis, which posits a positive relationship between the variables, is also supported.

The obtained value (-0.653) is less than the critical value (49.73) so it can be concluded that the relationship between the two variables did not occur by something other than chance. The research hypothesis, which posits a positive relationship between the variables, is not supported.

There is no relationship between caffeine consumption and the length of time someone stays awake.

The obtained value (.653) is less than the critical value (.4973) so it can be concluded that the relationship between the two variables did not occur by something other than chance. The research hypothesis, which posits a positive relationship between the variables, is not supported.

The obtained value (.653) is greater than the critical value (.4973) so it can be concluded that the relationship between the two variables occurred by something other than chance. Furthermore, the research hypothesis, which posits a positive relationship between the variables, is also supported.

The obtained value (-0.653) is less than the critical value (49.73) so it can be concluded that the relationship between the two variables did not occur by something other than chance. The research hypothesis, which posits a positive relationship between the variables, is not supported.

Explanation / Answer

Option 3 is the correct answer.

This is due to the fact that if the obtained value of the test statistic comes out to greater than the critical value in most tests of hypotheses, then we reject the null hypothesis.