A researcher is using a regular, two-tailed test with = .05 to determine whether

Question

A researcher is using a regular, two-tailed test with = .05 to determine whether a non-zero correlation exists in the population. A sample of n = 25 individuals is obtained and produces a correlation of r = 0.21. The null hypothesis states that there is no correlation in the population. What is the t statistic, and what is the conclusion about the null hypothesis?

a. 1.03, the null hypothesis is rejected.

b. 1.03, the null hypothesis is not rejected.

c. 4.202, the null hypothesis is rejected.

d. 4.202, the null hypothesis is not rejected.

Explanation / Answer

H0: there is no correlation in the population

H1:there is a correlation in the population

alpha:5%

Test statistic:

t=1.03

t critical value at 24 df with 5% level is2.07

Conclusion:

t cal < t critical value, we do not reject the null hypothesis.

Hence Option B is True

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