vithout Complete parts (a) through (e) below REZER (a) Ubtain a point estimate for the population proportion of adults in the country who believe that televisions are a luxury they could do without (Round to three decimal places as needed.) (b) Verify that the requirements for constructing a confidence interval about p are satisfied The sample a simple random sample, the value of V (Round to three decimal places as needed) Vis, which is IS 10, and the (c) Construct and interpret a 95% confidence interval for the population proportion of adults in the country who believe that televisions are a luxury they could do without Select the correct choice below and fill in any answer boxes within your choice. (Type integers or decimals rounded to three decimal places as needed. Use ascending order) OA. There is a OB. We are % probability the proportion of adults in the country who believe that televisions are a luxury they could do without is between and confident the proportion of adults in the country who believe that televisions are a luxury they could do without is between and (d) Is it possible that a supermajority (more than 60%) of adults in the country believe that television is a luxury they could do without? Is it likely? It is that a supermajority of adults in the country believe that television is a luxury they could do without because the 95% confidence interval (Type an integer or a decimal. Do not round) less than or equal to 5% of the (e) Use the results of part (c) to construct a 95% confidence interval for the population proportion of adults in the country who believe that televisions are a necessity Lower bound Upper bound

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A random sample of 1,024 adults in a certain large country was asked, "Do you pretty much think televisions are a necessity or a luxury you could do without?" Of the 1,024 adults surveyed, 517 indicated that televisions are a luxury they could do without. Complete parts (a) through (e) below.

(a) Obtain a point estimate for the population proportion of adults in the country who believe that televisions are a luxury they could do without.

\(\hat{p} = \)

(Round to three decimal places as needed.)

(b) Verify that the requirements for constructing a confidence interval about \(p\) are satisfied.

The sample [ ] a simple random sample, the value of [ ] is [ ], which is [ ] 10, and the [ ] [ ] less than or equal to 5% of the [ ].

(Round to three decimal places as needed.)

(c) Construct and interpret a 95% confidence interval for the population proportion of adults in the country who believe that televisions are a luxury they could do without. Select the correct choice below and fill in any answer boxes within your choice.

(Type integers or decimals rounded to three decimal places as needed. Use ascending order.)

A. There is a [ ]% probability the proportion of adults in the country who believe that televisions are a luxury they could do without is between [ ] and [ ].

B. We are [ ]% confident the proportion of adults in the country who believe that televisions are a luxury they could do without is between [ ] and [ ].

(d) Is it possible that a supermajority (more than 60%) of adults in the country believe that television is a luxury they could do without? Is it likely?

The [ ] of a supermajority of adults in the country believe that television is a luxury they could do without because the 95% confidence interval [ ].

(Type an integer or a decimal. Do not round.)

(e) Use the results of part (c) to construct a 95% confidence interval for the population proportion of adults in the country who believe that televisions are a necessity.

Lower bound: [ ], Upper bound: [ ]

(Round to three decimal places as needed.)
Transcribed Image Text:A random sample of 1,024 adults in a certain large country was asked, "Do you pretty much think televisions are a necessity or a luxury you could do without?" Of the 1,024 adults surveyed, 517 indicated that televisions are a luxury they could do without. Complete parts (a) through (e) below. (a) Obtain a point estimate for the population proportion of adults in the country who believe that televisions are a luxury they could do without. \(\hat{p} = \) (Round to three decimal places as needed.) (b) Verify that the requirements for constructing a confidence interval about \(p\) are satisfied. The sample [ ] a simple random sample, the value of [ ] is [ ], which is [ ] 10, and the [ ] [ ] less than or equal to 5% of the [ ]. (Round to three decimal places as needed.) (c) Construct and interpret a 95% confidence interval for the population proportion of adults in the country who believe that televisions are a luxury they could do without. Select the correct choice below and fill in any answer boxes within your choice. (Type integers or decimals rounded to three decimal places as needed. Use ascending order.) A. There is a [ ]% probability the proportion of adults in the country who believe that televisions are a luxury they could do without is between [ ] and [ ]. B. We are [ ]% confident the proportion of adults in the country who believe that televisions are a luxury they could do without is between [ ] and [ ]. (d) Is it possible that a supermajority (more than 60%) of adults in the country believe that television is a luxury they could do without? Is it likely? The [ ] of a supermajority of adults in the country believe that television is a luxury they could do without because the 95% confidence interval [ ]. (Type an integer or a decimal. Do not round.) (e) Use the results of part (c) to construct a 95% confidence interval for the population proportion of adults in the country who believe that televisions are a necessity. Lower bound: [ ], Upper bound: [ ] (Round to three decimal places as needed.)
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