Question

QUESTTUNT 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 10.950 6.082 9.249 8.851 QUESTION 2 1)-2) Use the sample data below to test the hypotheses: HO: p1=p2=p3 H1: Not all population proportions are equal Yes Response 1 2 3 Total 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 QUESTION 3 3)-7) The mangers of a brokerage fim are interested in finding out if the number of new clients a broker brings into the firm affects the sales (in 1,000 $) generated by the broker. They sampled 25 brokers and determine the number of new clients they have enrolled in the last year and the data are partially presented in the table with the following results: y = 25.5+1.35X, SST=1430, SSR=1188.55, and --(x - 2)2-102. Broker Clients (X) Sales M 1 26 60 2 23 57 25 24 59 The prediction for the amount of sales (in $1000s) for a person who brings 22 new clients into the firm is 55.20 56.55 53.85 55.88

Answer 1

Souton Given data 3 Total 2 130 16 68 46 yes Izo 82 4h NO 44 300 150 Total 90 O, C Expected frequency G 2 3 yes 39 26 65 51 34 85 q? ECO.-6.)? Test stakstos Now, ç

obsented focquency o Expected 6. Co. -6.)/6; 46 39 2, 2564 16 26 3, 8462 68 65 0.1385 44 0.9608 44 34 2,9412 82 85 O, 1059 9.249 <(0.-€;)? 6. 9.249 Test statistics : 9,249 opters

P-value The predicton for amount of sales 2 with x² - 2,259 and de: Co-,) Co-,) (3-1) (2-1) = 2x222 P=0.0098 p <a re, 0.0098 20.025 Beject to shopton Given Beganesson bone ŷ : 25,5+1,35% who brings 22 new clients Por a person into from e, 2:22 then ŷ = 25.5+ 1.35(22) 25,57 29.7 ss, 2 55.2 opton a