Please answe the question 22 and 27 C) Ho: ?. 20.0%. D) Ho: ?= 22.996. E) Ho : ?

Question

Please answe the question 22 and 27 C) Ho: ?. 20.0%. D) Ho: ?= 22.996. E) Ho : ? = 24.6%. Scenario 4 Admissions records at MIT indicates that 67% of the graduate students enrolled are from Canada. 20. Refer to Scenario 4. What is the minimum sample size for which the Central Limit Theorem applies in this case? n= 30. n=40. n=50. A) B) C) D) n 100. E) n 200. Refer to Scenario 4. Find the mean and standard error of the sample proportion of Canadian students in random samples of 100 graduate students at MIT A) ?= 0.067, SE= 0.0625. n, B) p 0.067, SE-0.006. C) þ = 0.067, SE = 0.025. D) p 0.670, SE-0.250. E) ?=0.067, SE = 0.0067. 21. 22. Refer to Scenario 4. Roughly what percentage of samples of 100 randomly selected graduate students at MIT will have at least 10% of students from Canada? A) 596. B) 6.796. C)10%. D) 18%. E) 2596. -017 p)

Explanation / Answer

(22)

In this case we have a sampling distribution with the following parameters:

Mean, m = 0.067

Standard error, S = (p(1-p)/n)^0.5 = (0.067*(1-0.067)/100)^0.5 = 0.025

So,

At X = 0.10, we have:

z = (X-m)/S = (0.10-0.067)/0.025 = 1.32

So,

P(X >= 0.10) = P(z >= 1.32) = 0.0934 = 9.34% = roughly 10%

(27)

You need to provide info regarding what is p1 and what is p2, otherwise I cannot proceed to solve.

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