1.) Which of the following statements is false regarding a confidence interval f
ID: 3061165 • Letter: 1
Question
1.) Which of the following statements is false regarding a confidence interval for a proportion: (explain why)
a) The margin of error increases as the sample size decreases
b) The margin of error increases as the confidence level decreases
c) The margin of error increases as the standard error increases
d) None of these
2.) A 99% confidence interval for a proportion p is (54%, 58%). Which of the following statements is true: (explain why)
a) We are 99% sure that p is between 54% and 58%
b) In repeated independent SRS's, approximately 99% of all sample proportions would fall between 54% and 58%
c) If we took indefinitely many independent SRS's of the same size and from each computed 99% confidence interval for p, then approximately 99% of these intervals would equal (54%, 58%).
d) None of these
3.) Which of the following statements is false about confidence intervals for a proportion p: (explain why)
a) The proportion p does not always lie within a 99% confidence interval
b) The sample proportion does not always lie withing a 99% confidence interval.
c) When using the same sample data, a 92% confidence interval is always wider than a 95% confidence interval.
d) none of these
4. ) Which of the following statements is true regarding the alternative hypothesis in a statistical significance test: (explain why)
a) in makes an inequality clain about a parameter
b) It makes an equality claim about a parameter
c) It makes an equality claim about a statistic
d) none of these
5. ) In statistical significance test, what does sigma-value tell us?
a) The probability of committing a Type-I Error, if Hsubscript 0 it true
b) THe probability of a statistic at least as extreme as observed,if H subscript 0 is true
c) How often H subscript 0 is true
d) none of these
Explanation / Answer
1.) Which of the following statements is false regarding a confidence interval for a proportion:
Answer) The margin of error increases as the sample size decreases
Since larger the denominator smaller is the margin of error
2.) A 99% confidence interval for a proportion p is (54%, 58%). Which of the following statements is true: (explain why)
Answer ) We are 99% sure that p is between 54% and 58%
Since the confidence interval is 99%, and the population proportion always lie between the obtained confidence interval
3.) Which of the following statements is false about confidence intervals for a proportion p:
Answer) When using the same sample data, a 92% confidence interval is always wider than a 95% confidence interval.
Because confidence interval multiplier of 92% is lesser than 95%.
4. ) Which of the following statements is true regarding the alternative hypothesis in a statistical significance test: (explain why)
Answer) It makes an inequality clain about a parameter
Because hypothesis testing is done on parameters amd not statistic
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