Statistics 7020 - Statistical Method in Health Sciences » Summer 2022 » HW 7 Week 4-2

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Question #1
One setup the hypothesis testing as follow: H0: p=.50 vs. HA: p>.50 And the p-value from SPSS was 0.002. Then with the level of significance at 0.05, one reject the null hypothesis.
A.   False
B.   True
Question #2
If a given confidence interval limits are (0.444, 0.484), then the point estimate p^ is __________ (up to three decimal places) (Hint: CI is estimate + margin of error. It means the estimate, which is the centered value of the CI is p^)
A.   0.464 
B.   0.449
C.   0.479
D.   0.466
Question #3
If a given confidence interval limits are (0.444, 0.484), then the margin of error is __________. (up to two decimal places)
A.   0.12
B.   0.31
C.   0.02
D.   0.09
Question #4
One survey showed that among 785 randomly selected subjects who completed four years of college, 18.3% smoke and a 98% confidence interval for the true percentage of smokers among all people who completed four years of college is 15.1% to 21.6%. Based on the result, the smoking rate for those with four years of college appears to be substantially different than the 27% rate for the general population.
A.   False
B.   True
Question #5
The Chi-square statistic is always positive.
A.   True
B.   False
Question #6
The General Social Survey asked 1,578 US residents: "Do you think the use of marijuana should be made legal, or not?" 61% of the respondents said it should be made legal. Is 61% a sample statistic or a population parameter?
A.   Sample statistic
B.   Population parameter
Question #7
About 25% of young Americans have delayed starting a family due to the continued economic slump. A random sample of 50 young Americans where 20% have delayed starting a family due to the continued economic slump would be considered unusual.
A.   False
B.   True
Question #8
Use the given data to find the minimum sample size required to estimate a population proportion or percentage: • Margin of error: 0.060 • Confidence level: 99% • p^,q^unknown (note: remember that the sample size should be an integer.)
A.   489
B.   414
C.   463
D.   497
Question #9
As discussed in the previous question, the General Social Survey reported a sample where about 61% of US residents thought marijuana should be made legal. If we wanted to limit the margin of error of a 95% confidence interval to 2%, about how many Americans would we need to survey?
A.   2,113
B.   1,789
C.   2,285 
D.   2,967
Question #10
A drug is used to treat a disease. In a clinical test, 3.2% of 221 drug users experienced dizziness. Determine the lower limit of a 99% confidence interval estimate of the percentage of all drug users who experience dizziness. Note that unit is %. (up to two decimal place, please)
A.   0.31 (with margin: 0.05) 0.0031 (with margin: 0.0005)
B.   0.15 (with margin: 0.05) 0.0015 (with margin: 0.0005)
C.   0.2 (with margin: 0.05) 0.02 (with margin: 0.0005)
D.   0.27 (with margin: 0.05) 0.0027 (with margin: 0.0005)

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