Question

Conduct a test at the a=0.01 level of significance by determining (a) the test statistic and (b) the P-Value. Assume the samples were obtained independently from a large population using simple random sampling.

Test whether p1>p2. The sample data are x1=120, n1= 246, x2=139 and n2=311.

Null and alternative hypothesis.

H0:p1=p2 versus H1:p1>p2

(a) Determine the test statistic- z0= _____ (round two decimal places as needed)

(b) determine the P-Value __________

Answer 1

Solution:

The null and alternative hypotheses are:

(a) Determine the test statistic

Answer:

The test statistic is:

Where:

Therefore, we have:

Therefore, the test statistic is

(b) determine the P-Value

Answer: The p-value is given below:

Using the standard normal table, we have:

Therefore, the p-value is 0.1685