Final answer:
The sample size needed for a small correlation of 0.10 in a power analysis depends on the desired level of power and significance level.
Step-by-step explanation:
The sample size needed for a small correlation of 0.10 in a power analysis depends on the desired level of power and significance level. Typically, a power of 0.80 and a significance level of 0.05 are used. To calculate the sample size, you can use power analysis software or online calculators specifically designed for this purpose.
For example, if you assume a power of 0.80, a significance level of 0.05, and a small correlation of 0.10, you might need a sample size of around 1500 to detect this correlation with sufficient power.