Please round to 3 decimal points

Is inflation too high? We will examine this by taking a random sample of n = 4320 adults and asking whether they feel inflation is too high? Of these sampled adults, x = 2250 said that inflation is too high. (Assume nobody lies.) Let p be the (unknown) true proportion of adults who feel inflation is too high. We want to estimate p. X is the random variable representing the number of sampled adults who say inflation is too high a) What type of probability distribution does X have? O exponential Poisson O binomial O gamma O Weibull b) What was the sample proportion, p, of sampled adults who say inflation is too high? c) What is the R formula for the expected value of X in terms of n and p? On-2 On*p*(1 - p ) O sart(n*p*(1-p)) On* p O 1/p d) What is the z critical value that we would use to construct a classical 94% confidence interval for p? e) Construct a 94% classical confidence interval for p? ( f) How long is the 94% classical confidence interval for p? g) If we are creating a 94% classical confidence interval for p based upon the sample size of 4320, then what is the longest possible length of this interval? h) Copy your R script for the above into the text box here