1-Television viewers often express doubts about the validity of certain commercials. In an attempt to answer...

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Basic Math

1-Television viewers often express doubts about the validity ofcertain commercials. In an attempt to answer their critics, a largeadvertiser wants to estimate the true proportion of consumers whobelieve what is shown in commercials. Preliminary studies indicatethat about 40% of those surveyed believe what is shown incommercials. What is the minimum number of consumers that should besampled by the advertiser to be 95% confident that their estimatewill fall within 2% of the true population proportion?
2- An auditor for a hardware store chain wished to compare theefficiency of two different auditing techniques. To do this heselected a sample of nine store accounts and applied auditingtechniques A and B to each of the nine accounts selected. Thenumber of errors found in each of techniques A and B is listed inthe table below:
Errors in A Errors in B
25 11
28 17
26 19
28 17
32 34
30 25
29 29
20 21
25 30

Select a 90% confidence interval for the true mean difference inthe two techniques.
a) [0.261, 8.627]
b) [-4.183, 4.183]
c) [2.195, 6.693]
d) [3.050, 5.838]
e) [2.584, 6.304]
f) None of the above

Answer & Explanation Solved by verified expert

3.7 Ratings (553 Votes)

1 Proportion p 04 Margin of error E 002 Confidence Level CL 095 Significance level 1 CL 005 Critical value z NORMSINV0052 196 Sample size n See Answer

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