Question

owa has decided to run a quasi-experiment in regard to a new program to increase earnings.

29 are randomly assigned to an employment program, and 81 are assigned to a control group. By follow-up interviews, the state finds out how much outside income per week is earned on average, by each individual with the following results:

	Employment Program	Control
Mean	$145	$135
Std Dev	22	15
n	144	81

a. Present a hypothesis and a null hypothesis.  
b. Calculate your t-score (involving the overall standard error for the difference of means); show your work.
c. estimate your p-value (using n1+n2-2 for d.f.);
d. State a conclusion in plain English. Is the result statistically significant? Is it practically significant?

Answer 1

## here we have two sample t test :

it is one sided ( left tailed test )

test statistics value = 4.30

and p value = 0.000

result is statistically sigificant because p value is less than alpha value , we reject Ho hence our claim is satisfy

and it is practically significant also because result significant .