A researcher wishes toestimate,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 sizeneeded,using a prior study that found that

44

%

of the respondents said they think their president can control the price of gasoline.

c)Compare the results from parts(a)and(b).

(a)What is the minimum sample size needed assuming that no prior information isavailable?

nequals

nothing

(Roundup to the nearest whole number asneeded.)

(b)What is 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 ofgasoline?

nequals

nothing

(Roundup to the nearest whole number asneeded.)

(c)How do the results from(a)and(b)compare?

A.

Having an estimate of the population proportion raises the minimum sample size needed.

B.

Having an estimate of the population proportion reduces the minimum sample size needed.

C.

Having an estimate of the population proportion has no effect on the minimum sample size needed.