If a researcher obtains a Pearson r of .21 and the critical value from a table i

Question

If a researcher obtains a Pearson r of .21 and the critical value from a table is .26, what should the researcher decide, and what error might be made?

retain the null hypothesis— possible Type I error.

retain the null hypothesis— possible Type II error.

reject the null hypothesis— possible Type I error.

reject the null hypothesis— possible Type II error.

retain the null hypothesis— possible Type I error.

retain the null hypothesis— possible Type II error.

reject the null hypothesis— possible Type I error.

reject the null hypothesis— possible Type II error.

Explanation / Answer

Pearson r = 0.21 shows there is correlation between two variables though it is not strong enough.

If we reject the null hypothesis based on the calculated value of test statistics this will lead to type I error.

Hence Option C is correct.

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