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Testing a Null Hypothesis at 0.1 Significance

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A New England Journal of Medicine study found that a substantial portion of acute hospital care is unnecessary. The physicians who conducted the study reviewed the medical records of 1,132 patients hospitalized at six different locations across the country. Overall, 60% of the admissions were judged to be appropriate, 23% were deemed inappropriate, and the remaining 17% could have been avoided by the use of ambulatory surgery. Let Pi, p2 and p3 be the true percentages of hospital admissions in the three categories: appropriate, inappropriate and avoidable by ambulatory surgery, respectively. At a significance level of a = 0.1, test the null hypothesis:

H0: pi = 0.8
P2=0.1
P3 = 0.1
Ha: At least one of the multinomial probabilities does not equal its hypothesized value.

(See attached file for full problem description with proper equations)

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Solution attaches a .rtf file showing how to test a null hypothesis in a study of appropriate hospital admissions.

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  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
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