Hypothesis Testing and Effect Size Analysis in Psychological Research
An individual assignment focused on hypothesis testing and effect size analysis in PSY 415.
Claire Mitchell
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Hypothesis Testing and Effect Size Analysis in Psychological ResearchINDIVIDUAL ASSIGNMENT: WEEK THREEThe focus of this assignment is on the Five-Step Hypothesis Testing Process. In hypothesistesting we are always making comparisons. We’ll be looking at two different kinds ofcomparisons.Both of these comparisons use z tests.In real life, this type of research isveryrare but it’s a good starting place for us to learn some basic concepts.This assignment has3 parts to it.In Part One, we’re using the Five-Step Hypothesis Testing Process to compare an individualto a population. How would we know if an individual is like the general population onsome specific variable or not? In the scenarios we’re using, we know that population meanand standard deviation so we’re just comparing this one person’s score to the population’smean as the Comparison Distribution.In Part Two, we’re using the Five-Step Hypothesis Testing Process to compare a sample ofpeople to a population. Is this sample of people different on some variable from thegeneral population or not? Since we’re comparing asample of people to a population, wehave to use that sample’smean and we use the Distribution of Means as a ComparisonDistribution.In Part Three,we’re looking at a concept called Effect Size.For Parts One and Two, I’m going to first give you an example and walk you through theprocess and then I’m going to give you one to do on your own. You will need the MajorFormulas Handout that I told you to print out the first day of class. You will need toreference our textbook.Part OneLottery Winner Example(from text)A study is done in which a randomly selected person is given $10 million. This person'shappiness, measured 6 months later, is 80. It is known in advance that happiness in thegeneral population is normally distributed with= 70 and= 10. Could this result haveoccurred by chance?Restate question as a research hypothesis and a null hypothesis about thepopulations.Research hypothesis:There will be a statistically significant difference between thehappiness ratings on a self-report scale of this lottery winner sixmonths after winning the lottery when compared to the happinessratings of the general population. (μ1>μ2)Null hypothesis:There will not be a statistically significant difference between thehappiness ratings on a self-report scale of this lottery winner sixmonths after winning the lottery when compared to the happinessratings of the general population. (μ1≤μ2)
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