Question

Patients in a hospital are classified as surgical or medical. A record is kept of the number of times patients require nursing service during the night and whether or not these patients are on Medicare. The data are presented here: Patient Category Medicare Surgical Medical Yes 46 52 No 36 43 Test the hypothesis (using ) that calls by surgical-medical patients are independent of whether the patients are receiving Medicare. Find to 2 decimal places the P-value for this test. The evidence Choose the answer from the menu in accordance to the question statement sufficient to claim that surgical-medical patients and Medicare status are dependent.

Answer 1

Following are the solution to the given question:

Explanation:

Given:

`N= 177\\\\a=46\\\\b=52\\\\c=36\\\\d=43`

`\to \chi _(1)^(2)=(N(ad-bc)^(2))/((a+c)(b+d)(a+b)(c+d))`

`=(177((46* 43)-(52 * 36))^(2))/((98)(79)(82)(95))\\\\=(177((1978)-(1872))^(2))/(60310180)\\\\=(177(106)^(2))/(60310180)\\\\=(177(11236))/(60310180)\\\\=(1988772)/(60310180)\\\\= 0.032976`

P-value=
`CHIDIST(0.032976,1) = 0.86.`

thus, the surgical-medical patients and Medicare are dependent.