Question

The statistics for the following examples can be computed by hand or using a statistical package. Gina and Ariely (2012) found in a series of studies that creativity was positively related to dishonest behavior, both when people are naturally creative and when they are stimulated to be creative. Suppose you want to know whether creativity is negatively related to integrity in an educational setting. You have students complete a creativity measure and report on their academic honesty (no plagiarism, completing work according to guidelines, no cheating on tests, supporting the institution’s honor code, etc.) The following table presents the data for your sample:

Table: Student ID 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15

Creativity 22,45,36,40,28,32,39,18,26,22,30,34,28,17,40

Academic Honesty 21.18.15.18.21.17.10.23.19.15.16.9.13.19.7

0. 1. After entering the data, graph the data in a scatterplot. What does the graph suggest about the relationship between creativity and academic honesty?
   2. Compute the appropriate test to determine whether self-reported creativity and academic honesty are negatively related.
   3. Can you reject the null hypothesis? Why or why not?
   4. What is the probability of a Type 1 error? Type II error?
1. Write a Results section for your findings. Include the descriptive statistics, statistical tests, and results of the tests.

10. Write a Discussion section for your findings. Include the findings, interpretation/explanation/implication of the findings, and possible next studies.

Answer 1

a)

graph shows negative relationship between two.

..............

b)

	ΣX	ΣY	Σ(x-x̅)²	Σ(y-ȳ)²	Σ(x-x̅)(y-ȳ)
total sum	457	241	1023.733333	302.9	-297.47
mean	30.47	16.07	SSxx	SSyy	SSxy

correlation coefficient ,    r = Sxy/√(Sx.Sy) =   -0.5342

correlation hypothesis test      
Ho:   ρ = 0  
Ha:   ρ > 0  
n=   15  
alpha,α =    0.05  
correlation , r=   -0.5342  
t-test statistic = r*√(n-2)/√(1-r²) =        -2.278

............

DF=n-2 =   13  
p-value =    0.9799  
Decison:   P value > α, So, Do not reject Ho  

so both are negatively related

............

probability of type I error = 0.05

thanks