Answer: a)2206 b) 2209
Step-by-step explanation:
Formula to find the sample size :
a) If prior population proportion (p) is known.
b) If prior population proportion (p) is unknown.
where, is the z-value associated with confidence level and E would be the margin of error .
Solution : Let p be the proportion of citizens who "follow professional football."
a) Given : p=0.48
Margin of error : E= 0.02
z-value for 94% confidence =
Required sample size would be :
Simply ,
[Rounded to the next whole number.]
∴ The sample size is <u>2206</u>.
b) Proportion of citizens who "follow professional football" is unknown.
Margin of error : E= 0.02
z-value for 94% confidence =
Required sample size would be :
Simply ,
∴ The sample size is <u>2209</u>.