Statistics assignment help
1. A hospital decides to bring in a new surgical resident with a known high success rate for total knee replacements. The new resident has a current success rate of 0.96. Suppose on his first day, the resident is supposed to complete 4 total knee replacement operations in a row. Assume his probability of success does not change.
a. What is the expected number of successes for the intern?
b. What is the variance of the distribution?
c. What is the probability that at least 3 replacements will be successful?
d. What is the probability that all replacements will fail?
2. Researchers are interested in conducted an analysis about the effectiveness of a new investigational drug aimed at increasing overall survival among HIV positive patients co-infected with Hepatitis C. Current national data claims that 5 year survival for patients with HIV and Hepatitis C is 32%. After treatment analysis, the research team estimates that 5 year survival among those treated with the new medication is 37%.
A) Does the national data report contain a parameter or an estimator?
B) Does the study report a parameter or an estimator?
3. Researchers are interested in estimating the prevalence of hypertension in a population of adults aged 40-65 for a new grant. Suppose the population prevalence is 37.5%. The research team has enrolled 167 participants, and 79 have been confirmed hypertensive.
A) Can we approximate with the normal distribution in this hypothetical example? Why or why not?
B) Create a standardized z-score for the estimate calculated by the research team.
C) What is the probability of observing at least 79 to be confirmed hypertensive from this sample?
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