A recent survey on people’s opinion as to whether the traditional TV licence should be replaced by a device independent broadcasting fee showed that out of a random sample of 115 individuals from the population, 46 of them stated were in favour, i.e. a sample proportion of 0.40. Which of the following is a 99% confidence interval for the true proportion of the adult Irish population that support the new fee structure? (a) 0.4±0.0895 (b) 0.2821 < p < 0.5179 (c) 0.3105 < p < 0.4895 (d) 0.3246 < p < 0.4754 (e) 0.3269 < p < 0.4731 (f) 46±0.1179

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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A recent survey on people’s opinion as to whether the traditional TV licence should be replaced by a device independent broadcasting fee showed that out of a random sample of 115 individuals from the population, 46 of them stated were in favour, i.e. a sample proportion of 0.40.

Which of the following is a 99% confidence interval for the true proportion of the adult Irish population that support the new fee structure?

(a) 0.4±0.0895
(b) 0.2821 < p < 0.5179

(c) 0.3105 < p < 0.4895 (d) 0.3246 < p < 0.4754 (e) 0.3269 < p < 0.4731

(f) 46±0.1179

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ISBN:
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Pearson Addison Wesley,