Hypothesis Testing (20 points) You are a researcher interested in whether optimi

Question

Hypothesis Testing (20 points) You are a researcher interested in whether optimism is related to creativity. You have recruited a sample of local artists, writers, and musicians and identified some of them as "highly optimistic" according to an Optimism Scale. You want to find out whether those who are "highly optimistic" are rated as more creative, as compared to other artists who were not identified to be "highly optimistic. Higher scores on the creativity rating scale indicate higher creativity, and data drawn from the general population of local artists yielded a -42 with Creativity scores for the "highly optimistic" artists are listed below. Use the 6 steps of hypothesis testing to set up and determine the results of this study. You decide whether to conduct a one-tailed or two-tailed test and at what level to set alpha. Use this answer sheet to NEATLY write your answers to the six steps. 45 44 43 46 47 45 48 46 48 43 45 46 47 49 47 45 44 49 47 44 Step #3: Set criteria for decision (4 pts) Alpha (1 pt) z critical value (1 pt)- Decision rule (2 pts):

Explanation / Answer

mu = 42

sigma = 5

n = 20

sample mean = Xbar = 45.9

Hypothesis:

Ho: mu = 42

vs

H1: mu is not 42

Z Score Calculations

Z = (M - ) / (2 / n)

Z = (45.9 - 42) / (5 / 20)

Z = 3.9 / 0.5

Z = 7.8

The p value is 0

alpha = 0.05

p value < alpha

we reject the null hypothesis

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