A researcher selects a sample from a population with μ = 30 and uses the sample to evaluate the effect of a treatment.After treatment,the sample has a mean of M = 32 and a variance of s² = 6.Which of the following would definitely increase the likelihood of rejecting the null hypothesis?
A)Increase the sample size
B)Increase the sample mean
C)Decrease the sample variance
D)All of the other options will increase the likelihood of rejecting the null hypothesis.

Question

Quizplus · Accepted Answer

Increasing the sample size reduces the standard error, making it easier to detect a true effect. Increasing the sample mean increases the observed effect size, making it more likely to reject the null hypothesis. Decreasing the sample variance reduces the variability in the sample, increasing the test's power to detect an effect. All these actions increase the likelihood of rejecting the null hypothesis if it is false.

A Researcher Selects a Sample from a Population with μ