Stats HW

1kwerd

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Apr 21, 2010
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I have a few homework questions:

7. In a test of H0: p = 0.4 against Ha: p 0.4, a sample of size 100 produces z = 1.28 for the value of the test statistic. Thus the P-value (or observed level of significance) of the test is approximately equal to:
I wanna this is .90 because of the z=1.28 but it seems wrong to completely disregard the other givens.

1. Some scientists believe that a new drug would benefit about half of all people with a certain blood disorder. To estimate the proportion of patients who would benefit from taking the drug, the scientists will administer it to a random sample of patients who have the blood disorder. What sample size is needed so that the 95% confidence interval will have a width of 0.06?

1. 748
2. 1,068
3. 1,503
4. 2,056
5. 2,401

I honestly have no idea how to find interval based upon given width.


4. A 95% confidence interval for p, the proportion of Canadian beer drinkers who prefer Lion Red was found to be (0.236,0.282). Which of the following is correct?

1. About 95% of beer drinkers have between a 23.6% and a 28.2% chance of drinking Lion Red.
2. There is a 95% probability that the sample proportion lies between 0.236 and 0.282.
3. If a second sample was taken, there is a 95% chance that its confidence interval would contain 0.25.
4. This confidence interval indicates that we would likely reject the hypothesis H0: p = 0.25.
5. We are reasonably certain that the true proportion of beer drinkers who prefer Lion Red is between 24% and 28%.


I've narrowed this down to 1 or 2 (A or B) but these wording problems are tricky for me sometimes.
 
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