Given : The Tennessee Tourism Institute (TTI) plans to sample information center visitors entering the state to learn the fraction of visitors who plan to camp in the state.

The prior proportion of visitors are campers : p=0.35

Allowable error : E= 2%= 0.02

We know that the z-value for 95% confidence = $z_c=1.96$

Then by Central Limit Theorem , the required sample size would be :

$n=p(1-p)(\dfrac{z_{c}}{E})^2$

$\Rightarrow\ n=0.35(1-0.35)(\dfrac{1.96}{0.02})^2\\\\ n= 0.35(0.65)(9604)$

Simply , we get

$n=2184.91\approx2185$ [Rounded to the next whole number.]

Hence, the smallest sample size to estimate the population proportion of campers =2185

7 0

3 years ago

which of the following shows 27/54 written in prime facrtored form to help in reducing the fraction to simplest form

Amiraneli [1.4K]

27= 3x3x3

54 = 3x3x3x2

so 27/54 = 3x3x3 /3x3x3x2 by simplifying = 1/2

6 0

3 years ago

Read 2 more answers