In order to estimate the proportion of individuals who read at least one book per month, a random sample of individuals was selected and they were asked whether or not they read at least one book per month. Their responses are shown below. Responses Yes, I read at least one book per month No, I do not read at least one book per month Frequency 490 210 (a) Develop a 95% confidence interval for the proportion of people in the population who read at least one book per month? Round your answer to three decimal places. Show all steps. (b) Based on the 95% confidence interval in (a), is it reasonable that the population propoprtion of people who read at least one book per month is 0.75? Justify your answer. (c) Interpret the confidence interval in (a).

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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In order to estimate the proportion of individuals who read at least one book per month, a random sample of individuals was
selected and they were asked whether or not they read at least one book per month. Their responses are shown below.
Responses
Yes, I read at least one book per month
No, I do not read at least one book per month
Frequency
490
210
(a) Develop a 95% confidence interval for the proportion of people in the population who read at least one book per month?
Round your answer to three decimal places. Show all steps.
(b) Based on the 95% confidence interval in (a), is it reasonable that the population propoprtion of people who read at least one
book per month is 0.75? Justify your answer.
(c) Interpret the confidence interval in (a).
Transcribed Image Text:In order to estimate the proportion of individuals who read at least one book per month, a random sample of individuals was selected and they were asked whether or not they read at least one book per month. Their responses are shown below. Responses Yes, I read at least one book per month No, I do not read at least one book per month Frequency 490 210 (a) Develop a 95% confidence interval for the proportion of people in the population who read at least one book per month? Round your answer to three decimal places. Show all steps. (b) Based on the 95% confidence interval in (a), is it reasonable that the population propoprtion of people who read at least one book per month is 0.75? Justify your answer. (c) Interpret the confidence interval in (a).
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