Solution :
Given that,
margin of error = E = 0.04
Z/2 = 1.96
(a)
= 0.5
1 - = 0.5
sample size = n = (Z / 2 / E )2 * * (1 - )
= (1.96 / 0.04)2 * 0.5 * 0.5
= 601
sample size = n = 601
(b)
= 0.34
1 - = 0.66
sample size = n = (Z / 2 / E )2 * * (1 - )
= (1.96 / 0.04)2 * 0.34 * 0.66
= 539
sample size = n = 539
(c)
Having an estimate of the population proportion reduces the minimum sample size is needed .
A researcher wishes to estimate with 95% confidence, the population proportion of adults who think the...
A researcher wishes to estimate, with 90% confidence, the population proportion of adults who think the president of their country can control the price of gasoline. Her estimate must be accurate within 3% 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 44% of the respondents said they think their president can control the price of gasoline. c) Compare...
A researcher wishes to estimate, with 99% confidence, the population proportion of adults who think Congress is doing a good or excellent job. Her estimate must be accurate within 2% 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 18% of the respondents said they think Congress is doing a good or excellent job. (c) Compare the results from...
A researcher wishes to estimate, with 99% confidence, the population proportion of a) No preliminary estimate is available Find the minimum b i F ind the minimum sapi·sue needed using a prior study that found that 32% of the respondents said they think their president c) Compare the results from parts (a) and (b) who think the president of their country can control the price of gasoline Her estimate must be accurate within 4% ofthe tw proportio control the price...
A researcher wishes to estimate with 90% confidence the population proportion of adults who think Congress is doing a good or excellent job Herestimate must be accurate within 1% of the true proportion (a) No preliminary mate vale. Find the sample size needed b) Find the minimum samplese needed, using a prior study that found that 25% of the respondents said they think Congress is doing a good or excellent job (c) Compare the results from parts (a) and (b)...
A researcher wishes to estimate, with 90% confidence, the population proportion of adults who think Congress is doing a good or excellent job. Her estimate must be accurate within 5% of the true proportior (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 38% of the respondents said they think Congress is doing a good or excellent job. (c) Compare the results from...
A researcher wishes to estimate, with 95% confidence, the population proportion of adults who support labeling legislation for genetically modified organisms (GMOs). Her estimate must be accurate within 4% 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 79% of the respondents said they support labeling legislation for GMOs. (c) Compare the results from parts (a) and (b). (a)...
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 6% 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 83% of the respondents said they support labeling legislation for GMOs. (c) Compare the results from parts (a) and (b).
A researcher wishes to? estimate, with 9090?% ?confidence, the population proportion of adults who say chocolate is their favorite ice cream flavor. Her estimate must be accurate within 33?% of the population 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 4444?% of the respondents said their favorite flavor of ice cream is chocolate. ?(c) Compare the results from parts? (a) and?...
A researcher wishes to estimate, with 95% confidence, the percentage of adults who support abolishing the penny. His estimate must be accurate within 5% of the true proportion. a) Find the minimum sample size needed, using a prior study that found that 32% of the respondents said they support abolishing the penny . b) No preliminary estimate is available. Find the minimum sample size needed. a) What is the minimum sample size needed using a prior study that found that...
17 n A researcher wishes to estimate, with 90% confidence, the population proportion of adults who think Congress is doing a good or excellent job. Her estimate must be accurate within 4% 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 22% of the respondents said they think Congress is doing a good or excellent job. (c) Compare the...