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Take a Test - Andrea Montgomery-Google Chrome Secure https://www.mathxLoom Student/PlayerTestaspx?testid:1671539378 centerw n yes MAT 135C01 Intro to Statistics: MA1 FA17 (Dale Blake) Test: Module 4 Test (Chapters 8, 9, 10, 11) Time Remaining: 02:58.17 Submit Te This Question: 1 pt 40120 (0 complete) | This Test: 20 pts possi A television sports commentator wants to estimate the proportion of citizens who "follow professional football. Complete parts (a) through (c) a) What sample size should be obtained if he wants to be within 3 percentage points with 95% confidence if he uses an estimate of 52% obtained from a por The sample size is (Round up to the nearest integer ) b) What sample size should be obtained if he wants to be within 3 percentage points with 95% confidence if he does not use any p or estimates? The sample size is (Round up to the nearest integer) (c) Why are the results from parts (a) and (b) so close? ( A. The results are close because 0 52(1-0 52)-0 2496 is very close to 0 25 The results are close because the confidence 95% is close to 100% The results are close because the margin of error 3% is less than 5%. B. C. Click to select your answer s)

Explanation / Answer

a)

Sample size = (0.52) (1-0.52)*(1.96/0.03)^2 = 1065.4 = 1065 or say 1066

b)

Sample size = (0.5) (1-0.5)*(1.96/0.03)^2 = 1067.1 = 1067 or say 1068

c)

Correct option is A

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