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 = 2050 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 binomial O Poisson gamma exponential 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? O n*p O 1/p O n^2 sqrt(n*p*(1-p))

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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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 = 2050 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 binomial
O Poisson
gamma
exponential
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?
O n*p
O 1/p
O n^2
sqrt(n*p*(1-p))
O n*p*(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 intervall 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?
Transcribed Image Text: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 = 2050 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 binomial O Poisson gamma exponential 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? O n*p O 1/p O n^2 sqrt(n*p*(1-p)) O n*p*(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 intervall 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?
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Calculus For The Life Sciences
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,