Question

Determine the correct responce for the follwing statistics questions prt A-C

"The business college computing center wants to determine the proportion of business students who lave personal computers (PC's) at home. If the proportion exceeds 30%, then the lab will scale back a proposed enlargement of its facilities. Suppose 300 business students were randomly sampled and 65 mave PC's at home. What assumptions are necessary for this test to be satisfied? (4 pts)

Answer 1

#1)

Assumptions : 1) The random sample of 300 students should be independently selected from the normally distributed population.

2) n*p and n*q both must be greater than 5

3) Sample size n is no more than 5% of the population size.

#2) α = 0.001 , One right tail test , df = 15

a (1 tail) 0.05 0.025 0.01 0.005 0.0025 0.001 0.0005 a (2 tail) 0.1 0.05 0.02 0.01 0.005 0.002 0.001 13 1.7709 2.1604 2.6503 3.0123 3.3725 3.8520 4.2208 14 1.7613 2.1448 2.6245 2.9768 3.3257 3.7874 4.1404 15 1.7530 2.1314 2.6025 2.9467 3.2860 3.7328 4.0728

For right tail test critical value is positive

So critical value is 3.7328

#3) α = 0.01 , two tail test , n = 29 , df = 29 - 1 = 28

a (1 tail) 0.05 0.025 0.01 0.005 0.0025 0.001 0.0005 a (2 tail) 0.1 0.05 0.02 0.01 0.005 0.002 0.001 26 1.7056 2.0555 2.4786 2.7787 3.0669 3.4350 3.7067 27 1.7033 2.0518 2.4727 2.7707 3.0565 3.4211 3.6896 28 1./011 2.0484 2.46/1 2./633 3.0469 3.4082 3.6/39

For two tail test, there are two critical values one is negative and another is positive

So critical values are -2.7633 and 2.7633