Statistics for business - Week 9 assignment - Consider this...

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 1 and p
2
is the population proportion of Population 2.
Use the statistics summarized from a simple random sample of each of the two populations to
complete the following: ( 12 Points )
Population 1 Population 2
Sample Size ( n) 400 500
Sample proportion (pbar) 0.65 0.70
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 hypotheses?
e. What is the p-value?
f. Use the above data to construct a 95% confidence interval for p
1
- p
2
1.

file. These responses are answers by a
simple random sample of employees from the two regions to the question: Are you planning to stay with