Unit Exercise 9 - Omodolapo Agbolade-Olasinde.docx - Unit 9...

12/6/2019
Omodolapo Agbolade-Olasinde
Unit 9 Exercise
Instructor: Albert Wong

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 proportion of “yes” of Population 1 and p
2
is the population
proportion of “yes” of Population 2. Use the statistics data from a simple random sample of
each of the two populations to complete the following: ( 8 points )
Population 1 Population 2
Sample Size (n) 400 600
Number of “yes” 300 426
Sample proportion(Pbar) 300/400 = 0.75 426/600 = 0.71
a. Compute the test statistic z.
b. What is the p-value?
c. Should H
0
be rejected? Use the p-value and a level of significance of 0.05 to
justify your answer.