A 2005 Harris Interactive for Korbel poll found that 63% of men and 55% of women think that it is okay for women to make marriage proposals to men. An 8% difference may or may not be statistically significant.What size sample is required to make this difference significant?
a. If the preceding sample statistics had resulted from a sample of 250 men and a sample of 250 women, would the difference be significant, using a = 0.05 ? Explain.
b. If the samples had each been of size 500, would the difference be significant, using a = 0.05? Explain.
c. Determine the size sample that would have the difference of 0.08 corresponding to p = 0.05