In next presidential election of year 2012, five candidates running for election are Herman Cain, Michele Bachmann, Barack Obama, Mitt Rimney, and Newt Gingrich. It is desired to determine the true proportion favoring one of five candidates.
a) Based upon Sample size 1000 with 94% confidence, how close (plus or minus) must we expect our estimate to be to the true value?
b) If we wanted to be 99% sure that our determine was within 0.05 of the true value, how large the sample size should be?
c) If 575 in the sample of 1000 were found to prefer Mitt Rimney, determine the lower limit of the two-sided 90% confidence interval for the true proportion?
d) Based upon the information in part (c), test the hypothese Ho: "pie"<+0.5 vs H1: "pie">0.5 and find out the critical value of sample proportion (P).
e) Find out the p-value for part (d)