An experiment finds that 27% of 103 subjects report improvement after using a new medicine. (read description))

Question

An experiment finds that 27% of 103 subjects report improvement after using a new medicine.

A. check conditions and create a 90% confidence interval for the actual cure rate

B. Interpret the confidence interval in this context

C. Explain what 90% confidence interval means in this context

D. According to a Science Now magazine article, about 37% of subjects report improvement after using a new medicine. Does the 37% figure from the article seem reasonable for this experiment?

E.What sample size would be needed in a follow up study if we want a margin of error of +-5% with 90% confidence?

Answer 1

A. There are 2 conditions for the setting in this question: 1. Random. Is the sample no lager than 10% of the population size? 2. Large Counts.

B & C. We are 90% confident that the interval from a to b capture the true proportion of ....

D. Is 37% inside or outside of your confidence interval?

E. Thinks about the formula for the standard error. Now you have every element in the formal except n, which is what you want to compute. Using your amazing algebra skill to solve it!