Answer: 180
Step-by-step explanation:
I’m just trying to earn points but I’m not sure sorry!
Answer: 151
Step-by-step explanation:
When the prior estimate of population proportion is available , then the formula for sample size: ![n=p(1-p)(\dfrac{z^*}{E})^2](https://tex.z-dn.net/?f=n%3Dp%281-p%29%28%5Cdfrac%7Bz%5E%2A%7D%7BE%7D%29%5E2)
, where p= prior estimate of population proportion
z*= critical-value.
E= Margin of error.
Let p be the proportion of of girls "wait for their missionary".
p = 11% =0.11
E= ± 0.03
The critical z-value corresponding to 90% confidence level = z*=1.645 [using z-table ]
Substitute all the values in the above formula , we get
Required sample size :![n=(0.11)(1-0.11)(\dfrac{(1.96)}{0.05})^2](https://tex.z-dn.net/?f=n%3D%280.11%29%281-0.11%29%28%5Cdfrac%7B%281.96%29%7D%7B0.05%7D%29%5E2)
![\Rightarrow\ n=(0.11)(0.89)(39.2)^2](https://tex.z-dn.net/?f=%5CRightarrow%5C%20n%3D%280.11%29%280.89%29%2839.2%29%5E2)
[Rounded to next integer.]
Thus, the number of observations he needs in his sample = 151
The answer is x=12. I hope this helps you out