Question

A researcher believes there is a negative correlation between age and amount of donation to a...

A researcher believes there is a negative correlation between age and amount of donation to a particular political candidate. Data is collected on 20 adults. If r = -0.73, at the 0.05 level is the researcher correct?

a. With a critical value of -1.734, ρ < 0.

b. With a critical value of -1.729, ρ = 0.

c. With a critical value of -1.725, ρ > 0.

d. With a critical value of -0.959, ρ < 0.

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Answer #1

Solution:

The correct option is:

a. With a critical value of -1.734, ρ < 0.

Explanation:

The left-tailed critical value at the 0.05 significance level for degrees of freedom is:

The alternative hypothesis for the given test is:

Therefore, the option a is correct

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