Is inflation too high? We will examine this by taking a random sample of n = 4320 adults and asking whether they feel in

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Is inflation too high? We will examine this by taking a randomsample of n = 4320 adults and asking whether they feel inflation istoo high? Of these sampled adults, x = 2250 said that inflation istoo high. (Assume nobody lies.) Let p be the (unknown) trueproportion of adults who feel inflation is too high. We want toestimate p. X is the random variable representing the number ofsampled adults who say inflation is too higha) What type of probability distribution does X have?
Poissongamma exponentialWeibullbinomial
b) What was the sample proportion, p̂, of sampled adults whosay inflation is too high? c) What is the R formula for the expected value of X in terms of nand p?
1/pn^2 n*psqrt(n*p*(1-p))n*p*(1 - p)
d) What is the z critical value that we would use to construct aclassical 94% confidence interval for p? e) Construct a 94% classical confidence interval for p? (
,
)f) How long is the 94% classical confidence interval forp? g) If we are creating a 94% classical confidence interval for pbased upon the sample size of 4320, then what is the longestpossible length of this interval? h) Copy your R script for the above into the text box here.