Answer:
z=0.6074
Step-by-step explanation:
Given that we have to Conduct the following test at the alpha equals0.05 level of significance by determining
Test whether p 1 not equals p 2 .
Suitable hypotheses would be
B. Upper H 0 : p 1 equals 0 versus Upper H 1 : p 1 not equals 0
(Two tailed test at 5% level)
Group I II total
n 255 305 557
x 28 36 64
p 0.1098 0.1180 0.1149
p difference = -0.0082
Std error for difference = ![\sqrt{\frac{0.1149*0.8851}{557} } \\=0.0135](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B0.1149%2A0.8851%7D%7B557%7D%20%7D%20%5C%5C%3D0.0135)
Test statistic Z = p diff/std error
= 0.6074
p =0.2718
Since p >alpha we accept H0
z=0.6074