Problem1: what is the upper bound of the 95% confidence interval for the proportion of individuals whose
Question:
Problem1: what is the upper bound of the 95% confidence interval for the proportion of individuals whose favorite sport is basketball using the normal approximation? Report 3 decimals. There are 17 out of 109 individuals whose favorite sport is basketball, so i believe the proportion is 0.15596? Correct me if i am wrong. My guess as to the upper confidence interval bound is 0.235
Problem 2: for the t-distribution, the smaller n is, the less variability in the t. my guess is true. Am I correct or incorrect?
Problem 3: relating to problem 1, in doing a larger survey, how many individuals should you survey to estimate the fraction of students whose favorite sport is basketball, p, to within 0.02 with 90% confidence, using the estimate from problem 1 for p?
Statistics The Art and Science of Learning from Data
ISBN: 978-0321755940
3rd edition
Authors: Alan Agresti, Christine A. Franklin