Use the given data to find the minimum sample size required to estimate the population proportion.   Margin of​ error: 0.05​; confidence​ level: 99%; from a prior​ study, p is estimated by 0.15.

In a study of government financial aid for college students, it becomes necessary to estimate the percentage of full-time college students who earn a bachelor's degree in four years or less. Find the sample size needed to estimate that percentage. Use a 0.04 margin of error and use a confidence level of 99%. Complete parts (a) through (c) below. a. Assume that nothing is known about the percentage to be estimated. n = (Round up to the nearest integer.) b. Assume prior studies have shown that about 60% of full-time students earn bachelor's degrees in four years or less. n = (Round up to the nearest integer.) c. Does the added knowledge in part (b) have much of an effect on the sample size? O A. No, using the additional survey information from part (b) only slightly reduces the sample size. B. Yes, using the additional survey information from part (b) only slightly increases the sample size. C. No, using the additional survey information from part (b) does not change the sample size. O…

Assume that a sample is used to estimate a population proportion p. Find the margin of error M.E. that corresponds to a sample of size 323 with 50.2% successes at a confidence level of 95%.

Using the given margin of error, confidence level, and likely range for the observed value of the sample proportion, obtain a sample size that will ensure a margin of error of at most the one specified (provided, of course, that the observed value of the sample proportion is further from 0.5 than the educated guess). margin of error = 0.01; confidence level = 95%; likely range = 0.3 to 0.4 The required sample size is n = (Round up to the nearest whole number.)