3B¥ From the data in Hospital Statistics, we obtained the following contingency
ID: 3152247 • Letter: 3
Question
3B¥
From the data in Hospital Statistics, we obtained the following contingency table for
Country A and nursing homes by type of facility and type of control, as follows.
In the table, we used the abbreviations Gov for Government, Prop for proprietary and
NP for nonprofit.
i .) How many hospitals are not under Government control? [1]
ii·) What percentage of hospitals is under nonprofit control? [2]
iii ,) What percentage of General hospitals is under proprietary control? [2]
iv.) Does an association exist between facility type and control type? Carry out an appropriate test at a 1% level of significance. Clearly state the null and alternative hypotheses, defining any symbols you use. [15]
Control Gov 1680 250 20 Prop 650 315 NP 3050 115 Total 5380 680 24 General Tuberculosis Other Total 61 150 416 2016 3375 6508Explanation / Answer
1) Prop+NP=1117+3375=4492
2) % of NP hospitals=(3375/6508)*100=51.86%
3) % of general hospitals under prop control=(650/5380)*100=12.08%
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