A survey was given to a random sample of 1200 voters in the United States to ask about their preference for a presidential candidate. Of those surveyed, 900
respondents said that they preferred Candidate A. Determine a 95% confidence
interval for the proportion of people who prefer Candidate A, rounding values to the
nearest thousandth.

In a test for esp (extrasensory perception), a subject is told that cards only the experimenter can see contain either a star, a circle, a wave, or a square. as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. a subject who is just guessing has probability 0.25 of guessing correctly on each card. a. the count of correct guesses in 20 cards has a binomial distribution. what are n and p? b. what is the mean number of correct guesses in 20 cards for subjects who are just guessing? c. what is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?