Exercise 2 (8 points: XXXXXXXXXX) For each of the following statements write down whether it is true or false. Explain briefly. A. Based on the same sample two interval estimates for a proportion are...

Exercise 2 (8 points: 2+2+2+2)
For each of the following statements write down whether it is true or false. Explain briefly. A. Based on the same sample two interval estimates for a proportion are constructed: a 90% and a 95%. The 90% confidence interval will be smaller than the 95% confidence interval. B. A statistical hypotheses testing procedure is performed with ? = 0.10. If the P-value is 0.07 than the H0 hypothesis will be rejected.
Answer the next questions.
C. The hypotheses of a test concerning a population proportion p are: H0: p = 0.35 HA: p > 0.35 A sample is drawn and the sample mean turns out to be exactly 0.35. What is the conclusion of this test: reject H0, don’t reject H0, undecided (more sample statistics needed to draw a conclusion)? Explain briefly. D. Which of the following factors does affect the
widthof a confidence interval: the sample standard deviation, the sample mean, the confidence level, the sample size.