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StatisticsQ&A Library88)A researcher obtains a Pearson correlation of r = 0.43 for a sample of n = 20 participants. For a two-tailed test, which of the following accurately describes the significance of the correlation? a.)The correlation is not significant with either α = .05 or α = .01. b.)The correlation is significant with either α = .05 or α = .01. c.)The correlation is equal to zero. d.)The correlation is significant with α = .05 but not with α = .01.Question

Asked Dec 12, 2019

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88)A researcher obtains a Pearson correlation of r = 0.43 for a sample of n = 20 participants. For a two-tailed test, which of the following accurately describes the significance of the correlation?

a.)The correlation is not significant with either α = .05 or α = .01.

b.)The correlation is significant with either α = .05 or α = .01.

c.)The correlation is equal to zero.

d.)

The correlation is significant with α = .05 but not with α = .01.

Step 1

Given Data

Pearson correlation coefficient (r) = 0.43

Sample size (n) =20

Formulation of Hypothesis

H_{0} : ρ = 0

H_{1} : ρ ≠ 0

To test the significance, test statistic is given by

Step 2

**Finding the p-value**

p-value = **0.05841**( From Excel =T.DIST.2T(2.021,18))

p-value > 0.05 and p-value > 0.01

So, **the correlatio...**

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