Question

# 1.      Consider this hypothesis test: H0: p1 - p2 = &lt; 0

aHa: p1 - p2 > 0

Here p1 is the population proportion of "yes" of Population 1 and p2 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 marks)

Population 1

Population 2

Sample Size (n)

500

700

Number of "yes"

400

560

Draw a diagram for the problem marking in all the relevant values.

a.                  Compute the test statistic z

Mark in the Z value based on a =0.05. Note this is a 2-tailed test.

b.                 Should H0 be rejected?

c.                  Also, What is the p-value?

Use the p-value and a level of significance of 0.05 to justify your answer.

d.                 Use the above data to construct a 90% confidence interval for p1 - p2

### Why Join Course Hero?

Course Hero has all the homework and study help you need to succeed! We’ve got course-specific notes, study guides, and practice tests along with expert tutors.

• ### -

Study Documents

Find the best study resources around, tagged to your specific courses. Share your own to gain free Course Hero access.

Browse Documents
• ### - 