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 -5. 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 an at what level to set alpha. Use this answer sheet to NEATLY write your answers to the six steps 45 44 4346 47 45 48 46 48 43 45 46 47 49 4745 44 49 47 44 Step #4: Collect data/ compute statistic (Hint: include effect size) (5 pts)

Explanation / Answer

1 Null Hypothesis There is relation between optimism and creativity. H0 Mean optimist equal to Mean creative Creativity of mean 42 is found in creative people 2 Alternate Hypothesis There is no relation between optimism and creativity. HA Mean optimist not equal to Mean creative Creativity of mean 42 is found in creative people and so should be same with optimistic people. 3 Alpha For this research we will take alpha as 5% So our confidence level or interval is of 95% This is a two tailed test with rejection region on both sides 2.5% each Therefore Z = +- 1.96 for each side 4 Data 45 44 43 46 Mean of creative people is 42 47 45 48 46 Standard deviation of creative is 5 48 43 45 46 Mean of optimistic people from sample is 45.9 47 49 47 45 44 49 47 44 5 Z test 45.9 Z = (Mean of optimistic - Mean of creative) / (Std Dev of creative) 0.78 Z = 0.78 6 Since the value of Z is 0.78 which is between (-1.96, +1.96) and so there is not enough evidence to reject the null hypothesis. So it is proved that there is relation between optimism and creativity. And so highly optimistic people are highly creative.

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