What percentage of your campus student body is female? Let p be the proportion of women students on your campus. (a) If no preliminary study is made to estimate p, how large a sample is needed to be 90% sure that a point estimate p̂ will be within a distance of 0.048 from p? (b) A report indicates that approximately 60% of college students are females. Answer part (a) using this estimate for p. 2.The National Council of Small Businesses is interested in the proportion of small businesses that declared Chapter 11 bankruptcy last year. Since there are so many small businesses, the National Council intends to estimate the proportion from a random sample. Let p be the proportion of small businesses that declared Chapter 11 bankruptcy last year. (a) If no preliminary sample is taken to estimate p, how large a sample is necessary to be 95% sure that a point estimate p̂ will be within a distance of 0.086 from p? (b) In a preliminary random sample of 30 small businesses, it was found that eight had declared Chapter 11 bankruptcy. How many more small businesses should then be included in a sample to be 95% sure that a point estimate p̂ will be within a distance of 0.086 from p?
What percentage of your campus student body is female? Let p be the proportion of women students on your campus. (a) If no preliminary study is made to estimate p, how large a sample is needed to be 90% sure that a point estimate p̂ will be within a distance of 0.048 from p? (b) A report indicates that approximately 60% of college students are females. Answer part (a) using this estimate for p. 2.The National Council of Small Businesses is interested in the proportion of small businesses that declared Chapter 11 bankruptcy last year. Since there are so many small businesses, the National Council intends to estimate the proportion from a random sample. Let p be the proportion of small businesses that declared Chapter 11 bankruptcy last year. (a) If no preliminary sample is taken to estimate p, how large a sample is necessary to be 95% sure that a point estimate p̂ will be within a distance of 0.086 from p? (b) In a preliminary random sample of 30 small businesses, it was found that eight had declared Chapter 11 bankruptcy. How many more small businesses should then be included in a sample to be 95% sure that a point estimate p̂ will be within a distance of 0.086 from p?
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter7: Applying Fractions
Section7.2: Proportions
Problem 47WE
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1.What percentage of your campus student body is female? Let p be the proportion of women students on your campus.
(a) If no preliminary study is made to estimate p, how large a sample is needed to be 90% sure that a point estimate p̂ will be within a distance of 0.048 from p?
(b) A report indicates that approximately 60% of college students are females. Answer part (a) using this estimate for p.
(b) A report indicates that approximately 60% of college students are females. Answer part (a) using this estimate for p.
2.The National Council of Small Businesses is interested in the proportion of small businesses that declared Chapter 11 bankruptcy last year. Since there are so many small businesses, the National Council intends to estimate the proportion from a random sample. Let p be the proportion of small businesses that declared Chapter 11 bankruptcy last year.
(a) If no preliminary sample is taken to estimate p, how large a sample is necessary to be 95% sure that a point estimate p̂ will be within a distance of 0.086 from p?
(b) In a preliminary random sample of 30 small businesses, it was found that eight had declared Chapter 11 bankruptcy. How many more small businesses should then be included in a sample to be 95% sure that a point estimate p̂ will be within a distance of 0.086 from p?
(b) In a preliminary random sample of 30 small businesses, it was found that eight had declared Chapter 11 bankruptcy. How many more small businesses should then be included in a sample to be 95% sure that a point estimate p̂ will be within a distance of 0.086 from p?
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