All patients admitted to a particular hospital can be released on the same day or kept overnight for observation. In a sample of 2550 patients, 1020 were kept overnight for observation a) What is the point estimate p for the proportion of all patients kept overnight for observation? b) Construct a 99% confidence interval for the proportion of all patients kept overnight for observation.

Show that the sample variance of a random variable X is a consistent estimator of the population variance.

In which of the following cases OLS estimation of Healthcare=a+bAge+u will be biased? a) Only include in your estimation sample individuals whose health care spending is more than 500 per year. b) Use a random sample. c) Healthcare is recorded with some random typing errors. d) The error variance is larger at an older age.

The table below shows data on a subsample of participants in the 7th examination of the Framingham Offspring Study. Characteristic n Sample Population Standard Мean Deviation Systolic Blood 10 121.2 11.1 Pressure Diastolic Blood 10 71.3 7.2 Pressure Total Serum 10 202.3 37.7 Cholesterol Weight 10 176.0 33.0 Height 10 67.175 4.205 Body Mass 10 27.26 3.10 Index Which of the following is the 95% confidence level for Systolic Blood Pressure 114.32, 128.08 120.98, 121.42 121.16, 121.24 112.16, 130.24