What are the assumptions we need satisfied to apply the standard normal model for proportions?
What are the assumptions we need satisfied to apply the standard normal model for proportions?
Homework Answers
Assmptions we need satisfied to apply the standard normal model for proportions are following:
1] The data must be a simple random sample.
2] The Population atleast 10 times of the sample size.
3] The sample size large enough that np0
and n(1-p0)
These are the essential assumption for carrying Z test.
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What are the assumptions we need satisfied to apply the standard
normal model for proportions?
What conditions need to be satisfied to use the normal approximation for proportions? Use an example...
What conditions need to be satisfied to use the normal approximation for proportions? Use an example if necessary. .
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Suppose that the assumptions of the Standard Trade Model apply. Consider three countries: X, Y and Z. Consider two goods: A and B. X and Y export A and import B. Z exports B and imports A. Moreover, suppose that country Y (which is a large country) experiences economic growth in its import sector. Explain in detail, using any relevant diagrams, what is the effect of this growth on the welfare of (a) X?
Suppose that the assumptions of the Standard Trade Model apply. Consider three countries: X, Y and...
Suppose that the assumptions of the Standard Trade Model apply. Consider three countries: X, Y and Z. Consider two goods: A and B. X and Y export A and import B. Z exports B and imports A. Moreover, suppose that country Y (which is a large country) experiences economic growth in its import sector. Explain in detail, using any relevant diagrams, what is the effect of this growth on the welfare of Y
Suppose that the assumptions of the Standard Trade Model apply. Consider three countries: X, Y and...
Suppose that the assumptions of the Standard Trade Model apply. Consider three countries: X, Y and Z. Consider two goods: A and B. X and Y export A and import B. Z exports B and imports A. Moreover, suppose that country Y (which is a large country) experiences economic growth in its import sector. Explain in detail, using any relevant diagrams, what is the effect of this growth on the welfare of X
Suppose that the assumptions of the Standard Trade Model apply. Consider three countries: X, Y and...
Suppose that the assumptions of the Standard Trade Model apply. Consider three countries: X, Y and Z. Consider two goods: A and B. X and Y export A and import B. Z exports B and imports A. Moreover, suppose that country Y (which is a large country) experiences economic growth in its import sector. Explain in detail, using any relevant diagrams, what is the effect of this growth on the welfare of X
Suppose that the assumptions of the Standard Trade Model apply. Consider three countries: X, Y and...
Suppose that the assumptions of the Standard Trade Model apply. Consider three countries: X, Y and Z. Consider two goods: A and B. X and Y export A and import B. Z exports B and imports A. Moreover, suppose that country Y (which is a large country) experiences economic growth in its import sector. Explain in detail, using any relevant diagrams, what is the effect of this growth on the welfare of Z?
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4. The Gauss-Markov Theorem says that when Assumptions 1-5 of the linear regression model are satisfied: (a) The least squares estimator is unbiased (b) The least squares estimator has the smallest variance of all linear estimators (c) The least squares estimator has an approximately normal sampling distribution (d) The least squares estimator is consistent (e) None of the above
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2. Often, we use a normal approximation when constructing confidence intervals for proportions. This method is simple and easy to employ, but it isn't perfect. Some possible issues one might encounter when using normal approximations are (check all that apply): a) There is no logical explanation for how observed sample proportions could be approximately normal. b) Especially with smaller sample sizes and with small or large sample proportions, it is possible to get upper and lower bounds less than 0...
One of the assumptions we sometimes need to make when performing statistical inferences is that the...
One of the assumptions we sometimes need to make when performing statistical inferences is that the response variable in the population has a Normal distribution. Is it possible to check that this assumption is satisfied? No - we can't really check this assumption since all data will look perfectly bell-shaped and symmetric, even if the population was not Normal. Yes - we can be absolutely sure the population was Normal if a plot of the data has no major outliers....
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(20 marks = 5+10+5) Suppose that the assumptions of the Standard Trade Model apply. Consider three countries: X, Y and Z. Consider two goods: A and B. X and Y export A and import B. Z exports B and imports A. Moreover, suppose that country Y (which is a large country) experiences economic growth in its import sector. Explain in detail, using any relevant diagrams, what is the effect of this growth on the welfare of (a) X? (b) Y?...
4. The Gauss-Markov Theorem says that when Assumptions 1-5 of the linear regression model are satisfied: (a) The least squares estimator is unbiased (b) The least squares estimator has the smallest variance of all linear estimators (c) The least squares estimator has an approximately normal sampling distribution (d) The least squares estimator is consistent (e) None of the above
2. Often, we use a normal approximation when constructing confidence intervals for proportions. This method is simple and easy to employ, but it isn't perfect. Some possible issues one might encounter when using normal approximations are (check all that apply): a) There is no logical explanation for how observed sample proportions could be approximately normal. b) Especially with smaller sample sizes and with small or large sample proportions, it is possible to get upper and lower bounds less than 0...
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