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We have a sample of 2,400 geriatric patients who are in an assisted living home, of which 1,200 have suffered from a urinary tract infection

  1. We have a sample of 2,400 geriatric patients who are in an assisted living home, of which 1,200 have suffered from a urinary tract infection (UTI). Rates of UTIs tend to be higher than average among this population. As part of a preventative intervention, we are examining the performance of several drugs:

Preventative Drug (before the onset of UTI)

Drug A: preventative UTI drug taken daily in hopes to prevent the growth of bacteria that causes UTIs

Treatment Drugs (after the onset of UTI)

Drug B: New antibiotic for treating UTIs

Drug C: Conventional antibiotic for treating UTIs

Information for how many patients took each drug or combination of drugs is summarized below in the two tables. Use these to answer questions a) -d)

Table 1. Summary of performance of drug A: UTI rates among those taking and not taking drug A

Did not take Drug A

Did take Drug A

UTI

913

287

No UTI

354

846

Table 2. Summary of performance of drug B and C: recovery status after 1 week of taking medications.

Did not take Drug A

Did take Drug A

Drug B

Drug C

Drug B

Drug C

Recovered

360

235

73

100

Not Recovered

105

213

66

48

  1. Use the above Table 1 to determine if Drug A was useful in preventing UTIs. In other words, is the proportion of those have a UTI taking Drug A equal to average rate of UTI for this population (living in an assisted living home) of 74%. Use hypothesis testing to test our hypothesis and use the p-value approach with a significance level of =0.05.

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