Question

QUESTION 1 1)-2) Use the sample data below to test the hypotheses: HO: p1=p2=p3 H1: Not all population proportions are equal Response 1 2 3 Total Yes 46 16 68 130 No 44 44 82 170 Total 90 60 150 300 The calculated test statistic is 6.082 8.851 9.249 10.950 QUESTION 2 1)-2) Use the sample data below to test the hypotheses: HO: p1=p2=p3 H1: Not all population proportions are equal Response 1 2 3 Total Yes 46 16 68 130 No 44 44 82 170 Total 90 60 150 300 At 2.5% level of significance, the conclusion is fail to reject HO No test No decision Reject HO

Answer 1

we want to dest HO: pi=p2 = P3 vs H.: Not'au population propostions are equal having that , Observed frequency Cli) : Response Yes NO Total 46 44 90 2 16 44 3 68 82 150 Total 130 170 300=N 60 The expected 1. frequencies cej) is calculated Las follows crow total) i * Ccolumn total); N. Response Yes NO! Total 99 51 2 26 34 60 3 65 85 150 (-90 degrees of freedom : (3-1) * (2-1) = 2 d = 2:54 = 0.025 critical value = 7. 3778 Question 1) Calculated test statistic is x² = (46-39] ² -(44-5102 (16-26)2 39 26 + (44 -34)2, (68-65)2 65 + + 151 34 (82-8572 85

- x² 9.248 86878 x2 = /9.2497 is consect choice 2 Question 2) Here X and coitical value at 2:54. level of significance is 7:3778 Q: 249 le a = 9.249 > 7.3778 we may reject Ho at 2:54. level of significance RejectHe is correct choice