D Question 5 2 pts Provide an appropriate response. A recent article in the pape

Question

D Question 5 2 pts Provide an appropriate response. A recent article in the paper claims that government ethics are at an all-time low. Reporting on a recent sample, the paper claims that 36% of all constituents believe their representative possesses low ethical standards. Assume that responses were randomly and independently collected. A representative of a district with 1,000 people does not believe the paper's claim applies to her. if the claim is true how many of the representative's constituents believe the representative possesses low ethical standards? 964 640 e 36 360

Explanation / Answer

The problem can be dealt as a problem of statistics or of definitive mathematics. We will show that whatever be the assumption the answers comes to be the same.

Lets first consider the problem to be of a definitive mathematics , i.e there is no chance involved in the problem (non-probabilistic).

It is known that the claim of the paper is true, hence 36% of all constituents beleive in low ethical standards of the government representative. So in the constituent of 1000 people, 36% of 1000 = 360 people beleive in low ethical standard. So the answer is 360.

From probabilistic viewpoint, let X be a random variable giving the number of people in a constituency of 1000 people who beleive in low standard of government representative. Then X ~ Bin (1000 , 0.36) under assumption that the hypotheses that 36% of all constituency beileives in low ethical standards.

Then the expected number of people beleiving the claim is E(X) = n * p = 1000 * 0.36 = 360.

So the answer is 360.

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