Question

Consider the following hypotheses:

 

H₀: p ≥ 0.50

H_A: p < 0.50

 

Compute the p-value based on the following sample information. (You may find it useful to reference the appropriate table: z table ort table) (Round "z" value to 2 decimal places. Round intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.)

a.	x = 40; n = 87
b.	x = 108; n = 269

Answer 1

solution Here we from p-value. have to find the given data: Ho: P >0.50 Hai P<0.50 a) Given that x=40 and n=87 P = k/n = 40/27 -0.46 fest statistic 7= Pop P (1-P) - 0.46 -0.50 0.50 (1-0.50) 87. -0.04 J 0.0029 . -0.04 0.0539 Z: -0.74 P(Z <-0.74)= 10.2297

b) Given that x=108 and n =269 È = */n : 108/269 -10.40 test statistic za - n 0.40 - Oiso [ 0.50 (-0.50) V 269 50.0009 ? -0.1 0.03 Z : -3.33 P(<-3.33) - 10.0004 c) Given that P = 0.47; n=53 test statistic z: PP P (1-P)

2: 0:47-0.50 0.50 (1-0.50) 53 -0.03 v0.0047 -0.03 0.0686 : F0.4373] 1 -10.44 - P(Z <-0.44)= 10.3300 -d) Given that P 2047 and nzaro Zo 0.47-0.50 10.50 (-0.50) 420 -0.03 10.000 6 -0.03 0.0245 2 : - 122 PC?<-1122).4112]