As we have noted in previous chapters, even a very small effect can be significant if the sample is large enough. Suppose, for example, that a researcher obtains a correlation of r = 0.60 for a sample of 10 participants. Is this sample sufficient to conclude that a significant correlation exists in the population? Use a two-tailed test with α = 0.05 and round your answers to three decimal places for the following:
tcritical = 2.365
The correlation is statistically significant.
If the sample had n = 25 participants, is the correlation significant? Again, use a two-tailed test with α = 0.05. Calculate the following and round your answers to three decimal places:
tcritical = 3.365
The correlation is statistically significant.