Question

You are a marketing research analyst for the Hallmark Channel, and you have just been given the assignment of estimating the percentage of all American households that watched the Hallmark movie (“A Time to Dance”) last Sunday night. You have been told that your estimate should have a precision of ±1% and that you should be a 95% confident (Z = 1.96) in your estimate. You do not know the variability in the population. State any assumptions you make.

What would be the sample size if the probability of being “correct” were decreased to 90% (Z = 1.645), keeping the precision at +1 percentage point? (Show your work to the best of your ability.)

Answer 1

Answer Date: 14/04/2020 The sample size is, First, compute the z-critical value then find the sample size. The z-critical value is, From the standard normal table, the z-critical value at 90% confidence is 1.645. The information represent E = 0.01, p=0.50 and ze = 1.645 for finding sample size. n= (*)xpa- 1.6452 x0.50(1-0.50) (0.01) = 6765.06 2 6766 The sample size is 6766