Mathematics, 19.01.2021 19:00 pal23
Suppose 12% of students are veterans. From a sample of 263 students, how unusual would it be to have less than 22 veterans?
Is the success-failure condition of the Central Limit Theorem satisfied?
Yes. Both np and n(1 - p) are > 10.
No. Either np < 10 or n(1 - p) < 10.
The Central Limit Theorem tells us that the distribution of sample proportions approximately follows a distribution with mean and standard deviation normal
Given this knowledge, use technology to compute the probability that, through random selection, one finds a sample proportion that is less than the proportion corresponding to 22 veterans.
Round answer to 4 decimal places.
Is this result unusual?
Yes. There is a less than 5% chance of this happening by random variation.
No. There is at least a 5% chance of this happening by random variation.
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