Please give the reason why the following statements are false: 1. Two methods of estimation are confidence intervals and tests of hypotheses. 2. Confidence intervals that are based on large samples are more likely to include the population parameter than those based on smaller samples. 3. Other things remaining the same, the larger the value of ^ , the wider the confidence interval. 4. Repeated samples of the same size from the same population will always produce 99% confidence intervals of the same width on the binomial parameter .