Question

A researcher is interested in comparing the effectiveness of two reading programs to see if there is a difference in the average amount of student reading score improvements reported in either program. The following data is collected from students in each program after four months of participation. Using the below data, conduct the appropriate two-sided hypothesis test to answer the researchers' question.

Experimental	Comparison
35	2
40	27
12	38
15	31
21	1
14	19
46	1
10	34
28	3
48	1
16	2
30	3
32	2
48	1
31	2
22	1
12	3
39	29
19	37
25	2

• Describe hypotheses for a two-sided test

• Identify the significance level of alpha

• Find the test statistic, report p-value from the SPSS output (include key t-test table)

• Based on the test results, describe your decision between the null and alternative hypotheses, then make a conclusion to answer the original research question

Answer 1

H0: There is no significance difference between the two groups

H1: There is significance difference between the two groups

Let the los be alpha = 5%

Test for Normality - Both Variables:

As per above normality plot, Experimental is follow normal distribution since the points are closed to straight line

As per above normality plot, Comparison is not follow normal distribution since the points are not closed to straight line

So we have to use Non-Parametric test, U test

SPSS Output,

since P-value - 0.001 < alpha 0.05 so we do not accept H0

Thus we conclude that There is significance difference between the two groups