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"Education is the most powerful weapon which you can use to change the world”
– Nelson Mandela

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Homework 11

Homework 11

Q Use the power calculation website available here for this homework. 1. I HAVE A LIMITED AMOUNT OF MONEY AND WOULD LIKE TO DETERMINE HOW TO BEST CONDUCT MY STUDY. ASSUMING 90% POWER, P < .05 TWO-TAILED, AND A SMALL EFFECT (D = .20), HOW LARGE OF A SAMPLE DO I NEED TO FIND A STATISTICALLY SIGNIFICANT EFFECT. 2. I AM ABLE TO AFFORD 125 PARTICIPANTS FOR MY STUDY. KEEPING THE SAME TWO-TAILED P-VALUE AND ASSUMING THE SAME EFFECT SIZE, HOW MUCH POWER WOULD I HAD FOR MY STUDY. 3. HOW MUCH POWER WOULD I HAVE IF I THEN SWITCHED TO A ONE-TAILED TEST? 4. FOR #3, WHAT WOULD BE MY PROBABILITY OF FALSELY FAILING TO REJECT THE NULL HYPOTHESIS? 5. I DECIDE TO CHANGE MY STUDY DESIGN SO THAT I INCREASE MY EFFECT SIZE TO .32. HOW MUCH POWER WOULD I NOW HAVE TO DETECT EFFECTS WITH 125 PARTICIPANTS AND A 2 TAILED P-VALUE OF .05?

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1. 266 2. 61 percent