A originals make up 3.2% o a certain country\'s population, and in 2012, 7 out o

Question

A originals make up 3.2% o a certain country's population, and in 2012, 7 out o the 347 members o a government body were Abong na Us ng he methods given in his chapter, compare these peo of rfor nation to answer the question, Are Abon inals under represented in this overnment body?" State the assumptions cleary and indicate whether s reasonable to be eve hat the assumptions are true. Use 5% as the crite on or an unlikely event. If the chance of each member of the government body being Aboriginal was equal to the percentage of Aboriginals in the population, then the probabil ity that 7 or fewer of the 347members would be Aboriginal is (Round to three decimal places as needed.) Comment on the question, Are Aboriginals under-represented in this government body? Since there is a relatively | probability that 7 or fewer of the 347 members would be Aboriginal, there is State the assumptions clearly and indicate whether it is reasonable to believe that the assumptions are true. Select all correct statements that correspond to necessary assumptions. to support the claim that Aboriginals are under-represented in this government body A. The trials a e not independent. While the selection or one individual do not impact the se ction of another individu n is g eater than 10% of the courtry's population. B. The Normality Assumption is satisfied, since the government body is expected to include at least 10 Aboriginals and at least 10 non-Aboriginals. C. It is unlikely that the probability of success is constant, as the percentage of Aboriginals in the population is not equal to the percentage of Aboriginals in the sample. D. It can reasonably be assumed that the random variable is well modelled by a Normal model, as the population percentage is known. E· F It can reasonably be assumed that (n) is less than 10% of the country's population. t can reasonably be assumed that the selection of one individual to the government body does not impact the probabli of another ndvidu a being selected.

Explanation / Answer

p = 3.2% = 0.032

n = 342

X follow binomial distribution

P(X>= 7) = 0.1324784

since 0.1324784 > 0.05 , there is not sufficient evidence to support the claim that Aboriginals are under-represented

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