Question

This Question: 10 pts 16 of 28 (10 complete) The Test 280 pts possible Question Help the P e Assume that the samples were obtained independently Conduct the following test at the 2005 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and using simple random sampling Test whether , Sample data are x - 30. - 255., 36, and n = 301 (a) Determine the null and alternative hypotheses Choose the correct answer below OA. Hy P, D, versus H, P, Py OCH, P, , versus HP, Py OB. Ho P, versus H, P, -0 OD. Ho P, Py versus H, P, P2 (b) The test statistic Zo is (Round to two decimal places as needed.) (c) The P value is (Round to three decimal places as needed) Test the null hypothesis. Choose the correct conclusion below O A. Do not reject the null hypothesis because there is sufficient evidence to conclude that P P OB. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p. #p O C. Reject the null hypothesis because there is sufficient evidence to conclude that p. + OD. Reject the null hypothesis because there is not sufficient evidence to conclude that P, <P2 Click to select your answer(s)

Answer 1

Answer:

x1= 30 , n1=255, x2= 36, n2= 301

= 0.05

Ho: p1 = p2

H1: p1 p2

   

Calculate test statistics

Z= -0.071

Test Statistics(Z) = -0.07

P-Value = 2*P(Z< -0.07)

find P(Z< -0.07) using normal z table we get,

P(Z< -0.07) = 0.4721

P-Value = 2*0.4721

P-Value = 0.944

Decision Rule:

Since ( P-Value = 0.944 ) >   = 0.05

hence,

We failed to reject Ho.

B) Do not reject null Hypothesis because there is not sufficient evidence to conclude that p1 p2.