The Question I was asked is:

Problem 5. Health care

In a random survey of 500 doctors that practice specialized medicine, 20% felt that health care should be privatized in Canada. In a random sample of 800 family physicians, 30% felt that the health care should be privatized in Canada. Is there any difference in the two proportions? Use ? = 0.10.

1. Are the conditions met for using a z test to test this claim?
2. Use the four-step P-value approach and test the claim described here.
3. Using the critical value approach, test the hypothesis for the claim described here. Include all key steps of the test of hypothesis.

I answered as shown:

Problem 5 c ilse same ztest But incluse of 0.10 = - 20 = - 1.645 -20 = 1-645 my Two rejection values ance. 10.90 6.05 0 .05" 2 3 14 - 2c - 3.99 - 205-1.647% 20 = 1.645 2c 3.29 Z = ( 0 . 20 - 0 . 30 ) - 0 ( -2615 ) ( 0. 7385 )/ 800 (.9931 ) (6 .60325 ) = Z = / 0 . 1 0-02505 - 3- 992 or - 3- 99. Ze Falls in the rejectan area.. reject the (Null HypoTHESISAssignment Ja Problem 5 41 =500 n2 = 800 = 0.20 PL = 0 . 30 OCI = 100 22 = 240 a) yes - The samples are randann The waythat estimate of P, and 12 is p = _ Xi+ 262 - 100 + 240 n, th2 500+ 80 340 = 0. 2615 -1300 9 0 1 - 1 = 1 - 0. 2615 = 0. 7385 . np = ( 50 0 ) ( 0 - 2615 ) = 130 . 75 > 5 12p = ( 80 0 ) ( 0 . 26 15 ) = 209 - 2 7 5 Big = ( 500 ) (0. 7385 ) = 369.25 > 5 niq = ( 800 ) 60 . 7385 ) = 590. 8 75 Hoil = 12 calm AND thai pixi dis is drawn o. 10 So Yes to meets the conditionsAssignment 5 a Problem 56 Use Pvalue approach. Not 1 - vernted values are randon 2 - Verted Weighed Estimate of Pand V2 75 in Vart ( a ) 3 - Level of siguelicence is d: o-10.. Tance 4 4 - 2 = (1 - P2 ) - ( P -p2 ) - 20- 1. 645 20 = 1- 645 = Z = (0.20- 0. 30 ) - 0 1 6 0- 2615) (0.2885 ) (560 800 - Ool 10 . 1931 0 0 0325 - 0 . 1 -- 0 . 1 N Jo. 0006 27575 6-02505 - - 30992 ar- 3- 99 - ZC = - 3- 99 2c = 3.99, usetable 4 23- 99 = As my 2 scarce is greater than - 3-4 . 3- 4 - 3.49 . = 6.0002 P = 2 ( 0. 0002 ) = 2x 0-0002 = 0:0004 P Boo0-4 2 0-10 we must reject will throwhess