b) Find the minimum sample size needed, using a price study that tound that 18%

Question

b) Find the minimum sample size needed, using a price study that tound that 18% of the respondents said ther favorte favor of ice cream ts chocolate (e) Compare the reauits from parts (a) and (b) mi t i he mmm m samole oce nee ed usng i prir sud, hatoured ha 10% ofthe respondents sad ter favorite ice cream naver is chocolate? n«O(Round up to te nearest whole number as reeded ) (c) How do the results rom (a) and (b) compare? O B. Having an estimale of the population proportion reduces the minimum sample size needed c. Having an estimate ef the pepuuton proportion 'anesthe mmmm sample size needed. OType here to search

Explanation / Answer

Answer:

a).

p=0.5( assumed)

For 90%, z=1.645

d=0.02

Sample size = (z2*p*(1-p))/d2

= (1.6452*0.5*0.5)/0.022

=1691.26

The sample size required= 1692

b).

p=0.18

For 90%, z=1.645

d=0.02

Sample size = (z2*p*(1-p))/d2

= (1.6452*0.18*0.82)/0.022

=998.52

The sample size required= 999

c).

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

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