A recent survey showed that 103 adults out of a sample of 500 have high blood pressure. However, 126 of those studied reported being unwilling to change their diet.
Based on this sample, If an adult is chosen at random, what is the probability that he or she is open to trying to eat more healthfully? Express your answer as a fraction in
lowest terms or a decimal rounded to the nearest millionth

Arandom sample of n = 25 observations is taken from a n(µ, σ ) population. a 95% confidence interval for µ was calculated to be (42.16, 57.84). the researcher feels that this interval is too wide. you want to reduce the interval to a width at most 12 units. a) for a confidence level of 95%, calculate the smallest sample size needed. b) for a sample size fixed at n = 25, calculate the largest confidence level 100(1 − α)% needed.