Question 1) A researcher wishes to estimate, with 90% confidence, the population proportion of adults who support labeling legislation for genetically modified organisms (GMOs). Her estimate must be accurate within 6% of the true proportion. (a) No preliminary estimate is available. Find the minimum sample size needed. (b) Find the minimum sample size needed, using a prior study that found that 78% of the respondents said they support labeling legislation for GMOs. (c) Compare the results from parts (a) and (b). (a) What is the minimum sample size needed assuming that no prior information is available? n= (Round up to the nearest whole number as needed.) (b) What is the minimum sample size needed using a prior study that found that 78% of the respondents support labeling legislation? n=(Round up to the nearest whole number as needed.) (c) How do the results from (a) and (b) compare? O A. Having an estimate of the population proportion reduces the minimum sample size needed. O B. Having an estimate of the population proportion raises the minimum sample size needed. O C. Having an estimate of the population proportion has no effect on the minimum sample size needed. Question 2) Why is it necessary to check that np 2 5 and nq 2 5? A. It is necessary to check that np 2 5 and nq 2 5 because the confidence intervals estimating the population proportions will overlap if these values are less than 5. B. It is necessary to check that np 2 5 and nq 2 5 because, if either of the values are less than 5, the distribution may not be normally distributed, thus z, cannot be used to calculate the confidence interval. C. It is necessary to check that np 2 5 and nq 2 5 because, if either of the values are less than 5, the tails on either side of the left and right endpoints are not accounted for. O D. It is necessary to check that np 2 5 and nq 2 5 to be certain that the minimum value of the sample size, n, is met