Ju2.Qui27 (Sectiohs 7.1- 7.3) g: 00:25:21 Submit Quiz his Question: 3 pts This Q
ID: 3316057 • Letter: J
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Ju2.Qui27 (Sectiohs 7.1- 7.3) g: 00:25:21 Submit Quiz his Question: 3 pts This Quiz: 30 pts possible of full-time college students who eam a bachelor's degree in four years or less. Find the sample size needed to estimate that percentage. Use a 0.01 margin of error and use a through (c) below. a. Assume that nothing is known about the percentage to be estimated. (Round up to the nearest integer.) b. Assume prior studies have shown that about 60% of full-time students earn bachelor's degrees in four years or less. (Round up to the nearest integer.) c. Does the added knowledge in part (b) have much of an effect on the sample size? 0 A. No, using the additional survey information from part (b) only slightly reduces the sample size. O B. Yes, using the additional survey information from part (b) dramatically reduces the sample size. from part (b) does not change the sample size. D· Yes, using the additional survey information from part (b) only slightly increases the sample size. .. I 1-Ja | :/i | ". | (u) | MoreExplanation / Answer
a)
When no prior estimate of proportion is specified then p = 0.5
Sample size = Z2 p(1-p) / E2
= 1.962 * 0.5 * 0.5 / 0.012
= 9604
b)
Given p = 60% = 0.60
Sample size = Z2 p(1-p) / E2
= 1.962 * 0.60 * 0.40 / 0.012
= 9219.84
= 9220 (Rounded up to nearest integer)
c)
Yes, using additional survey information from part b) dramatically reduce sample size.
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