Question

You may need to use the appropriate appendix table or technology to answer this question. Consider the following hypothesis test. Ho: 41 - H2SO Ho: My - uz > 0 The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 n = 40 n2 = = 50 * = 25.3 X = 22.8 0 = 5.9 92=6 (a) What is the value of the test statistic? (Round your answer to two decimal places.) (b) What is the p-value? (Round your answer to four decimal places.) (c) With a = 0.05, what is your hypothesis testing conclusion? Do not reject Ho. There is insufficient evidence to conclude that M1 - My > 0. Reject Ho. There is insufficient evidence to conclude that - My > 0. Reject Ho. There is sufficient evidence to conclude that - My > 0. Do not Reject Ho. There is sufficient evidence to conclude that My - My > 0.

Answer 1

solution! Girent Sample 1 nito X = 25.3 5 = 5.9 Sample n2= 50 X2= 22.8 62=6 2= 0.05 The null and altoy native hypothesis is the Hoill-1250 Hair-270 15 @ Test statistics (XX2) Z= nit h2 25.3- 22.8) ✓ (5.97 (6)2 + 50 Z= 1.9824 Z=1.98

b p-value: p-value = preszo) = 1 - P(Z<1.98) from table 10 = -0.9762 = 0.0238 0-02385 p-value = 0.0238 15 The p-value lue is 10.0238 Since p-value= = 0-023852=0.0S 20 ². We reject Ho Reject Ho. There is sufficient evidence to conclude that 41-420 25