Suppose the u. s. president wants an estimate of the proportion of the population who support his current policy toward revisions in the health care system. the president wants the estimate to be within 0.05 of the true proportion. assume a 95% level of confidence. the president's political advisors estimated the proportion supporting the current policy to be 0.64.
a. how large of a sample is required? (round up your answer to the next whole number.)
b. how large of a sample would be necessary if no estimate were available for the proportion that support current policy? (round up your answer to the next whole number.)

The vice president of programming at nbc is finalizing the prime-time schedule for the fall. she has decided to include a hospital drama but is unsure which of two possibilities to select. she has a pilot called the surgeon and another called critical care. to her make a final decision, a sample of 20 viewers from throughout the united states was asked to watch the two pilots and indicate which show they prefer. the results were that 12 liked the surgeon, 7 liked critical care, and one had no preference. state the decision rule, using the 0.10 significance level. h0: π = 0.50 h1: π ≠ 0.50 1. reject h0 if number of + signs is either < = or > = 2. what is your decision regarding h0? is there a preference for one of the two shows?