Dr. Chase has been cataloguing instances of Methicillin-Resistant Staphlococcus

Question

Dr. Chase has been cataloguing instances of Methicillin-Resistant Staphlococcus aureus (MRSA) in universities and hospitals in Colorado. Each year, he would test 100 randomly selected individuals from each institution, and record if they harbored MRSA. On the computer, you will find the data which shows, over the last five years, in decimal form, the average percentages of MRSA incidence in these hospitals and universities. A t-test comparing the means between hospitals and universities had a p value of 1.4E-5.

a. Is there a difference between the incidence of MRSA between Hospitals vs. Universities over the last five years? Briefly explain!

b.What does your p-value actually mean?

Hospitals Boulder Community Hospital Presbyterian/St. Luke's Medical Center University of Colorado Hospital The Children's Hospital St. Anthony Central Hospital Denver Health Medical Center Rose Medical Center National Jewish Health North Suburban Medical Center Porter Adventist Hospital Mean Universities 0.23 University of Colorado at Boulder 0.34 0.32 University of Denver 0.13 Regis Universit 0.15Johnson and Wales Universit 0.22 Colorado State Universit 0.09 University of Colorado at Colorado Springs 0.25 Colorado College 0.27Adams State College 0.32 Colorado School of Mines Mean 0.89 0.48 0.77 0.65 0.87 0.75 0.45 0.62 0.72 0.36 Higher Education Center

Explanation / Answer

The t-statistics is given by

t = (x - µ)/S/Sqrt(n). The probability that the statistic t lies in the region of significance with (100-1) degrees of fredom, normally we speak of 5 percent level of significance or 1 percent level of significance. Here, A t-test comparing the means between hospitals and universities had a p-value of 1.4E-5 = 1.4/100000 = 0.000014. It means that the average number of persons affected by MRSA is not significant.

The actual meaning of the p-value is the probability that the difference of means lie within 0 to 1,

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