Question

Consider the following hypotheses. Ho: Ps 0.19 H:p> 0.19 Given that p = 0.2, n= 130, and a = 0.01, answer the following questions. a. What conclusion should be drawn? b. Determine the p-value for this test. vral conclusion should be diawn? Reject Ho. There is insufficient evidence that p > 0.19. Do not reject Ho. There is insufficient evidence that p>0.19. c. Do not reject Ho. There is sufficient evidence that p>0.19. D. Reject Ho. There is sufficient evidence that p > 0.19. b. p-value = (Round to three decimal places as needed.) Round

Answer 1

Given: Ho : Po<0.19 H! • Po> 0.19 (right tailed) ܘܢ - 0.2 - 130 a = 0.0) Now test statistic for one Sample proportion IS given by 1 z = b-bo po (i-po) Undeci Ho i values putting z = 0.2 - -0.19 0.19 (1-0.19) 130 z oool 0.19 (0.81) 130 z = 0.01 0.01 0.1539 0.0012 130 Z - 0.01 0.0344 Z = o. 291

since our Now, Significance level, a = 0.01. There fore the critical value night for tailed test is Zwitical 2.33 Now. Calculaled value z less 8 is than 2 critical So m not reject null Hy at may 0.01 level Hypothesis gerealen Conceude of significance and Ps than that proportion population 0.19. (b) Now the p-value corresponding to z and (By Standard using Normal table). d n is = 0.01 0.3857