A researcher administers a treatment to a sample of participants selected from a population with µ = 80.If a hypothesis test is used to evaluate the effect of the treatment,which combination of factors is most likely to result in rejecting the null hypothesis?
A)A sample mean near 80 for a small sample
B)A sample mean near 80 for a large sample
C)A sample mean much different than 80 for a small sample
D)A sample mean much different than 80 for a large sample

Question

A researcher administers a treatment to a sample of participants selected from a population with µ = 80.If a hypothesis test is used to evaluate the effect of the treatment,which combination of factors is most likely to result in rejecting the null hypothesis?​
A)​A sample mean near 80 for a small sample
B)​A sample mean near 80 for a large sample
C)​A sample mean much different than 80 for a small sample
D)​A sample mean much different than 80 for a large sample

Quizplus · Accepted Answer

A large difference between the sample mean and the population mean (80) is more likely to result in rejecting the null hypothesis, and a larger sample size increases statistical power, making it more likely to reject the null hypothesis. Thus, a sample mean much different than 80 for a large sample is the most likely combination to result in rejecting the null hypothesis.

A Researcher Administers a Treatment to a Sample of Participants