3 students apply to a PhD program.  The program rejects 25% of all applicants.  Students are accepted and rejected independently of each other.  Let the random variable X represent the number of the 3 students who get rejected into the PhD Program.   What is the probability that 1 student is rejected to the program if it is known that at fewer than 2 students will be rejected? (round your answer to 4 decimal places) (Hint: Binomial distribution with P=25% and n=3, and conditional probability)

Select the term that best fits this definition: This equals the expected value of a sample proportion for a sampling distribution

What is the clinical name of a probability that is used to determine the likelihood of someone having a positive test when it is known they do have the disease.

Type of college a student is enrolled in at USF (i.e., Public Health, Nursing, etc.) is

3 students apply to a PhD program.  The program accepts 65% of all applicants.  Students are accepted and rejected independently of each other.  Let the random variable X represent the number out of the 3 students who get accepted from the PhD Program. (Hint: Binomial distribution with n=3 and p=65%)   What is the mean of the random variable?  (round your answer to 4 decimal places)

What is the clinical name of a probability that is used to determine the likelihood of someone having a negative test when it is known they do have the disease.

A sample of 2500 patients were taken to assess a medical test.  27% of the sample have the disease, 563 patients have the disease and tested negative, and 235 patients do not have the disease and tested negative. What is the probability someone has the disease if it is known they have a positive test?  (round your answer to 4 decimal places)

In one study on the effect of Dyazide on blood pressure level, 25 subjects were randomly chosen to receive Dyazide and 25 were chosen to receive a placebo. These subjects were later examined to check for differences in their blood pressure levels. In a second study, 200 subjects who reported taking Dyazide for a long period of time had their blood pressure levels compared with those of 200 people who had never taken Dyazide. Which of the following statements is correct?

For a sampling distribution for proportions you can assume it follows a normal distribution if p-hat times sample size and 1-phat times sample size are both greater than ten.

A biostatistician finds the relationship between the number of weeks (X) spent in a hospital and number of seizures per week (Y) and is described by the following equation: . This is based on a sample size of 50 patients and the associated coefficient of correlation is r = -.19. Using this information above, answer the following question: How do you interpret the slope of b1 = -.81?