Question

Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. Hp: p=0.81 versus Hy p=0.81 n=500, x=390, a=0.05 Is App (1-Pp) 2102 Select the correct choice below and fill in the answer box to complete your choice. Type an integer or a decimal. Do not round.) A No. Deseuse n (1=po) = Byes because npo ( 10) Now fine e DE (Type an integer or a decimal. Do not round) Find the test statistic zo 2 Round to two decimal places as needed.) Find the Paralue P-value Round to three decimal places as needed.) State the conclusion of the hypothesis test because the P-value is

Answer 1

Ho: p=0.81 Claim) H, : P 70-81 (two-tailea test) X - 390, d-0-05 n=500 Po 50-81 = 76.95 500 (0.812 (1-0-812 mp (1-P) 210 76. 95 MPO (1-po) Yes, because option B C n P 390 11 = 0.78 Sample proportion 1P=0.78 500 Zo - P-Po rest statistic formula P(1-0 η 0-78, P = 0.81, n -- 500 0.18-0.81 0.81(1–0.81) 500 test Statistic Zo -1.71 @ P-value i- can be Calculated by using test statistic to Standardized CS CamScanner -17

and given Claim Ha Contains '# Condition two - tailed test. which it represents so P-value P(ZL-171) + P(Z > 1.71) (PLZ2-111) = PLZ 21,71) 2P1244.71) P(771170) P(Z24.71) 1 2 left tail area of Z=171 Z=-1.71 e score of -1,71 Starting γOω Z from with Z- tables Column the of with -1.7. and 0.01 value) - 2 ( 0.04363) P-value = 0.08726 then decision ;- If p-value is less than 'd' reject the nult hypothesis (4) otherwise do not P-value -0.08726 > 2 so failed to reject the reject the null hypothesis Ho Conclusions is no sufficient evidence to claim There Support the CSequal to with the that population proportion because the p-value is greater 0.81 CamScanner than 2,