Respuesta :
Answer:
Based on this if we find the 10% of the population we have:
[tex] 15000000*0.1 = 1500000[/tex]
And we see that our sample 1600<1500000 and we satisfy the 10% condition.
Step-by-step explanation:
For this case we have the following data given:
n =1600 represent the sample size selected
[tex] \hat p = 0.43 [/tex] represent the estimated proportion of high school students that have a part time job
N= 15000000 represent the total population size
And we want to check if the 10% condition is satisfied. So we can use the following definitions for the 10% condition:
“We need to have bernoulli trials must be independent. If that assumption is not satisfied, it is still okay to proceed if we have that the sample is smaller than 10% of the population.”
"One of the conditions to be checked before using the normal model for
sample proportions is, “The sample size, n, must be no larger than 10% of the
population.”
So based on this if we find the 10% of the population we have:
[tex] 15000000*0.1 = 1500000[/tex]
And we see that our sample 1600<1500000 and we satisfy the 10% condition.
Answer:
Option A
Step-by-step explanation:
10% condition means that the sample size n must be less than or equal to 10% of the population
we have n = 1600 and N = 15,000,000
+ 10* n= 10 * 1600 = 16000 < 1,500,000
So, condition is satisfied
option A is correct answer
