Maryam Mohammad Amin Unit 9 Exercise.docx - Unit 9 Exercise...

Unit 9 Exercise
1. Consider this hypothesis test:
H
0
: p
1
- p
2
= 0
H
a
: p
1
- p
2
< 0
Here p
1
is
the
population
mean of
Population
By: Maryam Mohammad Amin
Due Date: March 12, 2018
Course Code: BUSI 1033 ( Statistics for Business)
Professor: Dr. Albert Wong

random sample of each of the two populations to complete the following: ( 12 points )
Population 1 Population 2
Sample Size ( n) 200 250
Sample proportion (pbar) 0.65 0.70
1.
a. What is the pooled estimate of p?
b. Compute the test statistic z.
c. What is the rejection rule using the critical value approach and α = 0.05?
d. Based on the rejection rule from c., what is your conclusion on the hypothesis?
e. What is the p-value?
f. Use the above data to construct a 95% confidence interval for p
1
- p
2