# Question Solved1 AnswerFunding agencies, and others who sponsor research, do not want to see their money wasted. They require that the studies they fund have sufficient statistical power. (a) What does it mean to say a given study has 80% power? (b) Imagine two proposed study designs for research on a similar topic. In study A, the researchers anticipate that the slope will be approximately 3 with a standard error of 1. In study B the researchers expect a slope of 5 with standard error 3. In both studies the researchers propose to test the null hypothesis that B1 = 0. Which study has the greater chance of rejecting the null? Explain your answer. (c) To increase the power of a study, without increasing the sample size, how could the research designs be modified? Give two specific suggestions and explain why the changes would improve the power.

JWCDEI The Asker · Probability and Statistics

Transcribed Image Text: Funding agencies, and others who sponsor research, do not want to see their money wasted. They require that the studies they fund have sufficient statistical power. (a) What does it mean to say a given study has 80% power? (b) Imagine two proposed study designs for research on a similar topic. In study A, the researchers anticipate that the slope will be approximately 3 with a standard error of 1. In study B the researchers expect a slope of 5 with standard error 3. In both studies the researchers propose to test the null hypothesis that B1 = 0. Which study has the greater chance of rejecting the null? Explain your answer. (c) To increase the power of a study, without increasing the sample size, how could the research designs be modified? Give two specific suggestions and explain why the changes would improve the power.
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Transcribed Image Text: Funding agencies, and others who sponsor research, do not want to see their money wasted. They require that the studies they fund have sufficient statistical power. (a) What does it mean to say a given study has 80% power? (b) Imagine two proposed study designs for research on a similar topic. In study A, the researchers anticipate that the slope will be approximately 3 with a standard error of 1. In study B the researchers expect a slope of 5 with standard error 3. In both studies the researchers propose to test the null hypothesis that B1 = 0. Which study has the greater chance of rejecting the null? Explain your answer. (c) To increase the power of a study, without increasing the sample size, how could the research designs be modified? Give two specific suggestions and explain why the changes would improve the power.