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Hypothesis Testing and Effect Size Analysis in Psychological Research

An individual assignment focused on hypothesis testing and effect size analysis in PSY 415.

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    Hypothesis Testing and Effect Size Analysis in Psychological Research INDIVIDUAL ASSIGNMENT: WEEK THREE The focus of this assignment is on the Five - Step Hypothesis Testing Process. In hypothesis testing we are always making comparisons. We’ll be looking at two different kinds of comparisons. Both of these comparisons use z tests. In real life, this type of research is very rare but it’s a good starting place for us to learn some basic concepts. This assignment has 3 parts to it. In Part One, we’re using the Five - Step Hypothesis Testing Process to compare an individual to a population. How would we know if an individual is like the general population on some specific variable or not? In the scenarios we’re using, we know that population mean and standard deviation so we’re just comparing this one person’s score to the population’s mean as the Comparison Distribution. In Part Two, we’re using the Five - Step Hypothesis Testing Process to compare a sample of people to a population. Is this sample of people different on some variable from the general population or not? Since we’re comparing a sample of people to a population, we have to use that sample’ s m ean and we use the Distribution of Means as a Comparison Distribution. 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 the process and then I’m going to give you one to do on your own. You will need the Major Formulas Handout that I told you to print out the first day of class. Y ou will need to reference our textbook. Part One Lottery Winner Example (from text) A study is done in which a randomly selected person is given $10 million. This person's happiness, measured 6 months later, is 80. It is known in advance that happiness in the general population is normally distributed with  = 70 and  = 10. Could this result have occurred by chance?  Restate question as a research hypothesis and a null hypothesis about the populations. Research hypoth esis: There will be a statistically significant difference between the happiness ratings on a self - report scale of this lottery winner six months after winning the lottery when compared to the happiness ratings of the general population. (μ 1 >μ 2 ) Null hypothesis: There will not be a statistically significant difference between the happiness ratings on a self - report scale of this lottery winner six months after winning the lottery when compared to the happiness ratings of the general population. (μ 1 ≤μ 2 )

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