Is the success-failure condition of the Central Limit Theorem satisfied? A) No. Either np < 10 or n(1−p) < 10. B) Yes. Both np and n(1−p) are ≥10. The Central Limit Theorem tells us that the distribution of sample proportions approximately follows a _______ distribution with mean ____ and standard deviation _____ . 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 20 veterans. Round answer to 4 decimal places. Is this result unusual? A) Yes. There is a less than 5% chance of this happening by random variation. B) No. There is at least a 5% chance of this happening by random variation.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Suppose 10% of students are veterans. From a sample of 279 students, how unusual would it be to have less than 20 veterans?
Is the success-failure condition of the Central Limit Theorem satisfied?
A) No. Either np < 10 or n(1−p) < 10.
B) Yes. Both np and n(1−p) are ≥10.
The Central Limit Theorem tells us that the distribution of sample proportions approximately follows a _______ distribution with mean ____ and standard deviation _____ .
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 20 veterans.
Round answer to 4 decimal places.
Is this result unusual?
A) Yes. There is a less than 5% chance of this happening by random variation.
B) No. There is at least a 5% chance of this happening by random variation.
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