Unit Exercise #9.docx - BUSI 1013 Emily Thompson Unit...

09/03/2019 BUSI 1013 Emily Thompson
Unit Exercise #9
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
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.
0

09/03/2019 BUSI 1013 Emily Thompson
d. Use the above data to construct a 95% confidence interval for p
1
- p
2
/ 2
❑
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