A researcher wishes to estimate, with 99% confidence,
A researcher wishes to estimate, with 99% confidence, the population proportion of adults who say
chocolate is their favorite ice cream flavor. Her estimate must be accurate within 4% 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 34% of the respondents said their favorite flavor of ice cream is chocolate.
(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.)
(b) What is the minimum sample size needed using a prior study that found that 34% of the respondents said their favorite ice cream flavor is chocolate?
n=
(Round up to the nearest whole number as needed.)
(c) How do the results from (a) and (b) compare?
A.
Having an estimate of the population proportion reduces the minimum sample size needed.
B.
Having an estimate of the population proportion has no effect on the minimum sample size needed.
C.
Having an estimate of the population proportion raises the minimum sample size needed. ATTACHMENT PREVIEW Download attachmentA researcher wishes to esTmate, with 99% confdence, the populaTon proporTon oF adults who saychocolate is their Favorite ice cream ±avor. Her esTmate must be accurate within 4% oF the populaTonproporTon.(a) No preliminary esTmate is available. ²ind the minimum sample size needed.(b) ²ind the minimum sample size needed, using a prior study that Found that 34% oF therespondentssaid their Favorite ±avor oF ice cream is chocolate.(c) Compare the results From parts (a) and (b).(a) What is the minimum sample size needed,assuming that no prior inFormaTon is available?n=(Round up to the nearest whole number as needed.)(b) What is the minimum sample size needed using a prior study that Found that 34% oF therespondentssaid their Favorite ice cream ±avor is chocolate?n=(Round up to the nearest whole number as needed.)(c) How do the results From (a) and (b) compare?A.Having an esTmate oF the populaTon proporTon reduces the minimum sample size needed.B.Having an esTmate oF the populaTon proporTon has no e³ect on the minimum sample size needed.C.Having an esTmate oF the populaTon proporTon raises the minimum sample size needed.
