A researcher would like to know the proportion of the households that has a cable subscription. She gathered data from 90 households and found that 19 of them are cable subscribers. At a confidence level of 90 percent, determine the following: a. the sample proportion, ?̂ (p-hat) b. the ?̂  (q) c. the confidence interval of true proportion, p d. what should be the sample size if the margin of error E is to be 5%?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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A researcher would like to know the proportion of the households that has a cable subscription. She gathered data from 90 households and found that 19 of them are cable subscribers. At a confidence level of 90 percent, determine the following:

a. the sample proportion, ?̂ (p-hat)

b. the ?̂  (q)

c. the confidence interval of true proportion, p

d. what should be the sample size if the margin of error E is to be 5%?

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