a researcher computes a onesample z test in two studies both

a researcher computes a one-sample z test in two studies. both studies used the alpha level, placed the rejection region in both tails, and measured the sample mean. The researcher selects a sample of 30 participants in study 1 and decides to retain the null hypothesis. She selects a sample of 60 participants in study 2 and decides to reject the null hypothesis. Which of the following is the best explanation for why thedecision was different in study 1 and study 2?

the different decisions in both study 1 & study 2 are not possible because all values were the same

the different decisions in both study 1 & study 2 are not possible because the researcher tested the same hypothesis

the different decisions in both study 1 & study 2 are due to an error the researcher made in the 1st hypothesis test

the different decisions in both study 1 & study 2 are possible because the second test was associated with a greater power to detect an effect

Solution

Since in studu 2, the sample size was large so the power will also be large in second study. The best interpretation is \"the different decisions in both study 1 & study 2 are possible because the second test was associated with a greater power to detect an effect\"