Answer:
Following are the solution to the given question:
Step-by-step explanation:
Given:
[tex]N= 177\\\\a=46\\\\b=52\\\\c=36\\\\d=43[/tex]
[tex]\to \chi _{1}^{2}=\frac{N(ad-bc)^{2}}{(a+c)(b+d)(a+b)(c+d)}[/tex]
     [tex]=\frac{177((46\times 43)-(52 \times 36))^{2}}{(98)(79)(82)(95)}\\\\=\frac{177((1978)-(1872))^{2}}{60310180}\\\\=\frac{177(106)^{2}}{60310180}\\\\=\frac{177(11236)}{60310180}\\\\=\frac{1988772}{60310180}\\\\= 0.032976[/tex]
P-value= [tex]CHIDIST(0.032976,1) = 0.86.[/tex]
thus, the surgical-medical patients and Medicare are dependent.