Answer :
Based on this if we find the 10% of the population we have:
15000000 × 0.1 = 1500000 And we see that our sample 1600 & lt;
1500000 and we satisfy the 10% condition.
For this case we have the following data given:
n = 1600 represent the sample size select.
dp = 0.43, which, 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:
15000000 × 0.1 = 1500000
And we see that our sample 1600 & lt;
1500000 and we satisfy the 10% condition.
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