Assume you have a population of 26000 people where 3% of the population has some particular disease. a) If you take a sample of size 34, can we say that the sampling distribution of ˆpp^is approximately normal? Why or why not? Check conditions: np = which ? ≥ < = ≠ > ≤ , 2. n(1 - p) = which ? ≥ < = ≠ > ≤ , 3. and N = which ? ≥ < = ≠ > ≤ , Can we say that the sampling distribution of ˆp is approximately normal in this case? (If the answer is no, state the first conditions in the list above that failed) Select an answer Yes, since all 3 conditions check out No, since the first condition did not check out No, since the second condition did not check out No, because the third condition did not check out b) Redo part a assuming phas increased to 86%. Check conditions: np = which ? ≥ < = ≠ > ≤ , 2. n(1 - p) = which ? ≥ < = ≠ > ≤ , 3. and N = which ? ≥ < = ≠ > ≤ , Can we say that the sampling distribution of ˆpp^ is approximately normal in this case? (If the answer is no, state the first conditions in the list above that failed) Select an answer Yes, since all 3 conditions check out No, since the first condition did not check out No, since the second condition did not check out No, because the third condition did not check out c) If you take a sample of size 579 from the original population where p is 3%, can we say that the sampling distribution of ˆp is approximately normal? Why or why not? Check conditions: 1. np = which ? ≥ < = ≠ > ≤ , 2. n(1 - p) = which ? ≥ < = ≠ > ≤ , 3. and N = which ? ≥ < = ≠ > ≤ , Can we say that the sampling distribution of ˆp is approximately normal in this case? (If the answer is no, state the first conditions in the list above that failed) Select an answer Yes, since all 3 conditions check out No, since the first condition did not check out No, since the second condition did not check out No, because the third condition did not check out d) Redo part c assuming the population only has 8685 people in it. Check conditions: 1. np = which ? ≥ < = ≠ > ≤ , 2. n(1 - p) = which ? ≥ < = ≠ > ≤ , 3. and N = which ? ≥ < = ≠ > ≤ , Can we say that the sampling distribution of ˆpp^ is approximately normal in this case? (If the answer is no, state the first conditions in the list above that failed) Select an answer Yes, since all 3 conditions check out No, since the first condition did not check out No, since the second condition did not check out No, because the third condition did not check out
Assume you have a population of 26000 people where 3% of the population has some particular disease.
a) If you take asample of size 34, can we say that the sampling distribution of ˆpp^is approximately normal? Why or why not?
Check conditions:
np = which ? ≥ < = ≠ > ≤ ,
2. n(1 - p) = which ? ≥ < = ≠ > ≤ ,
3. and N = which ? ≥ < = ≠ > ≤ ,
Can we say that the sampling distribution of ˆp is approximately normal in this case?
(If the answer is no, state the first conditions in the list above that failed)
Select an answer
Yes, since all 3 conditions check out
No, since the first condition did not check out
No, since the second condition did not check out
No, because the third condition did not check out
- b) Redo part a assuming phas increased to 86%.
Check conditions:
np = which ? ≥ < = ≠ > ≤ ,
2. n(1 - p) = which ? ≥ < = ≠ > ≤ ,
3. and N = which ? ≥ < = ≠ > ≤ ,
Can we say that the sampling distribution of ˆpp^ is approximately normal in this case?
(If the answer is no, state the first conditions in the list above that failed)
Select an answer
Yes, since all 3 conditions check out
No, since the first condition did not check out
No, since the second condition did not check out
No, because the third condition did not check out
c) If you take a sample of size 579 from the original population where p is 3%, can we say that the sampling distribution of ˆp is approximately normal?
Why or why not?
Check conditions:
1. np = which ? ≥ < = ≠ > ≤ ,
2. n(1 - p) = which ? ≥ < = ≠ > ≤ ,
3. and N = which ? ≥ < = ≠ > ≤ ,
Can we say that the sampling distribution of ˆp is approximately normal in this case?
(If the answer is no, state the first conditions in the list above that failed)
Select an answer
Yes, since all 3 conditions check out
No, since the first condition did not check out
No, since the second condition did not check out
No, because the third condition did not check out
d) Redo part c assuming the population only has 8685 people in it.
Check conditions:
1. np = which ? ≥ < = ≠ > ≤ ,
2. n(1 - p) = which ? ≥ < = ≠ > ≤ ,
3. and N = which ? ≥ < = ≠ > ≤ ,
Can we say that the sampling distribution of ˆpp^ is approximately normal in this case?
(If the answer is no, state the first conditions in the list above that failed)
Select an answer
Yes, since all 3 conditions check out
No, since the first condition did not check out
No, since the second condition did not check out
No, because the third condition did not check out
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