A polling organization took a random sample of 1,600 high school students to determine how many high school students have a part-time job. Suppose 43% of all high school students have a part time job. If the total population of high school students is 15 million, is the 10% condition met? Justify your answer

Based on this if we find the 10% of the population we have:

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

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:

And we see that our sample 1600<1500000 and we satisfy the 10% condition.

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

i am not sure :

step-by-step explanation:

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