Question

Consider the following hypothesis test:

H₀: ?1 - ?2 = 0

H_?: ?1 - ?2 ? 0

And the following results:

Sample 1                              Sample 2

n1 = 80                                 n2 = 70

_xbar1 = 104                           xbar₂= 106

?₁ = 8.4                                 ?₂ = 7.6

a. What is the value of the test statistic?

Answer:

b. What is the p-value?

Answer:

c. With ? = .05, can you reject the null hypothesis?

Answer: yes or no

Answer 1

Test: μ1メμ2 using two sample z-test Hypothesis test (Null Hypothesis) (Alternative Hypothesis, also called H1) This is two tailed test sample 1sample 2 11042- 106 Significance Level, a -0.05 Since Variances are known, we use 2 sample z-test Standard Error : -+ 2 σ,- ,- 1 2 Test statistic, «observed- 104 106 ะ-1.530718 ~-1.53 70.56/80 +57.76/70 Test statistic, o1.53 Using excel we find p-value = 2 * P(Z >に1.531) = 2*nor ndist(-1.531, 0,1,True ) 0.1258392131 p-value 0.1258 Decision: since p - value 2 a, we fail to reject the null hypothesis. There is insufficient evidence to conclude that is different from 112 No