A researcher wishes to estimate, with 99% confidence, the population proportion of adults who support labeling legislation for genetically modified organisms (GMOs). Her estimate must be accurate within 5% of the true proportion. (a) No preliminary estimate is available. Find the minimum sample size needed. (b) Find the minimum sample size needed, using a prior study that found that 73% of the respondents said they support labeling legislation for GMOS. (c) Compare the results from parts (a) and (b). (a) What is the minimum sample size needed assuming that no prior information is available? n = (Round up to the nearest whole number as needed.)

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 8E: List the sample space of each experiment. Picking a one-digit number
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Determine whether the statement is true or false.
To estimate the value of p, the population proportion of successes, use the point estimate x.
n
O A. False, to estimate the value of p, use the point estimate p = .
q
O B. False, to estimate the value of p, use the point estimate p
X
n
O c. True, to estimate the value of p, use the point estimate p = x.
O D. False, to estimate the value of p, use the point estimate p
n
X
-
Transcribed Image Text:Determine whether the statement is true or false. To estimate the value of p, the population proportion of successes, use the point estimate x. n O A. False, to estimate the value of p, use the point estimate p = . q O B. False, to estimate the value of p, use the point estimate p X n O c. True, to estimate the value of p, use the point estimate p = x. O D. False, to estimate the value of p, use the point estimate p n X -
A researcher wishes to estimate, with 99% confidence, the population proportion of adults who support labeling legislation for genetically modified organisms (GMOs). Her estimate must be accurate within 5% of the true proportion.
(a) No preliminary estimate is available. Find the minimum sample size needed.
(b) Find the minimum sample size needed, using a prior study that found that 73% of the respondents said they support labeling legislation for GMOS.
(c) Compare the results from parts (a) and (b).
(a) What is the minimum sample size needed assuming that no prior information is available?
n= (Round up to the nearest whole number as needed.)
Transcribed Image Text:A researcher wishes to estimate, with 99% confidence, the population proportion of adults who support labeling legislation for genetically modified organisms (GMOs). Her estimate must be accurate within 5% of the true proportion. (a) No preliminary estimate is available. Find the minimum sample size needed. (b) Find the minimum sample size needed, using a prior study that found that 73% of the respondents said they support labeling legislation for GMOS. (c) Compare the results from parts (a) and (b). (a) What is the minimum sample size needed assuming that no prior information is available? n= (Round up to the nearest whole number as needed.)
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