urgent help please

Suppose two researchers want to estimate the proportion of American college students who favor abolishing the penny. They both want to have about the same margin of error to estimate this proportion. However, Researcher 1 wants to estimate with 95% confidence and Researcher 2 wants to estimate with 99% confidence. Which researcher would need fewer students for her study in order to obtain the desired margin of error? The answer is Researcher...

Two different samples will be taken from the same population of test scores where the population mean and standard deviation are unknown. The first sample will have 25 data values, and the second sample will have 64 data values. A 95% confidence interval will be constructed for each sample to estimate the population mean. Which number of data values would you expect to give a less precision (a greater width) for estimating the population mean? The answer is the sample with ... data values.

For a particular experiment, with a null hypothesis of mu = 5 and an alternative hypothesis of mu> 5, a p-value of .047 is calculated. A 0.05 level of significance is set. The null hypothesis will most likely be rejected--True or False?