VOL12:31 Quiz: Unit 4 Practice Test Time Remaining: 01:28:32 Submit This Questio

Question

VOL12:31 Quiz: Unit 4 Practice Test Time Remaining: 01:28:32 Submit This Question: 1 pt 3 of 17 (0 complete) This Quiz: 17 pts po A programmer plans to develop a new software system. In planning for the operating system that he will use, he needs to estimate the percentage of computer use a new operating system. How many computers must be surveyed in order to be 95% confident that his estimate is in error by no more than two percentage points? Complete parts (a) through (c) below. c) Does the additional survey information from part (b) have much of an effect on the sample size that is required? O A. No, using the additional survey information from part (b) only slightly increases the sample size. O B. No, using the additional survey information from part (b) does not change the sample size. O c. Yes, using the additional survey information from part (b) dramatically increases the sample size. O D. Yes, using the additional survey information from part (b) dramatically reduces the sample size. Click to select your answer(s)

Explanation / Answer

a) At 95% confidence interval the critical value is z0.025 = 1.96

Margin of error = 0.02

or, z0.025 * sqrt(p(1 - p)/n) = 0.02

or, 1.96 * sqrt(0.5 * 0.5/n) = 0.02

or, n = (1.96 * sqrt(0.5 * 0.5)/0.02)^2

or, n = 2401

b) Margin of error = 0.02

or, z0.025 * sqrt(p(1 - p)/n) = 0.02

or, 1.96 * sqrt(0.94 * 0.06/n) = 0.02

or, n = (1.96 * sqrt(0.94 * 0.06)/0.02)^2

or, n = 542

c) Option - D is correct.

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