Answer:
I NEED HELP ON THAT ALSO
Step-by-step explanation:
Answer:
uh
Step-by-step explanation:
gygygyg
Answer:
I'm pretty sure 10.
Step-by-step explanation:
Answer:
![\hat p \sim N (p , \sqrt{\frac{p(1-p)}{n}})](https://tex.z-dn.net/?f=%5Chat%20p%20%20%5Csim%20N%20%28p%20%2C%20%5Csqrt%7B%5Cfrac%7Bp%281-p%29%7D%7Bn%7D%7D%29%20)
The mean is given by:
![\mu_{\hat p} = 0.55](https://tex.z-dn.net/?f=%20%5Cmu_%7B%5Chat%20p%7D%20%3D%200.55)
And the deviation:
![\sigma_{\hat p} =\sqrt{\frac{0.55*(1-0.55)}{953}}= 0.0161](https://tex.z-dn.net/?f=%20%5Csigma_%7B%5Chat%20p%7D%20%3D%5Csqrt%7B%5Cfrac%7B0.55%2A%281-0.55%29%7D%7B953%7D%7D%3D%200.0161)
Step-by-step explanation:
For this case we assume that the true population proportion of Americans do not know that GOP stands for Grand Old Party is 0.55 and we select a random sample of n = 953 americans
For this case we assume that we satisfy the conditions to use the normal approximation for
1) np >10 , n(1-p)>10
2) Independence
3) Random sample
4) The sample size is less than 10% of the population size
We assume that all the conditions are satisfied and the distribution for
would be:
![\hat p \sim N (p , \sqrt{\frac{p(1-p)}{n}})](https://tex.z-dn.net/?f=%5Chat%20p%20%20%5Csim%20N%20%28p%20%2C%20%5Csqrt%7B%5Cfrac%7Bp%281-p%29%7D%7Bn%7D%7D%29%20)
The mean is given by:
![\mu_{\hat p} = 0.55](https://tex.z-dn.net/?f=%20%5Cmu_%7B%5Chat%20p%7D%20%3D%200.55)
And the deviation:
![\sigma_{\hat p} =\sqrt{\frac{0.55*(1-0.55)}{953}}= 0.0161](https://tex.z-dn.net/?f=%20%5Csigma_%7B%5Chat%20p%7D%20%3D%5Csqrt%7B%5Cfrac%7B0.55%2A%281-0.55%29%7D%7B953%7D%7D%3D%200.0161)