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1. A pharmaceutical company is analyzing the efficacy of its television advertising campaign for a sleep aid called "Statsprof". It is interested in the proportion of viewers who can remember the brand name "Statsprof" after seeing a commercial for it. The company randomly samples 500 of those viewers and finds that 200 can remember that brand name.

• A. Provide an unbiased point-estimate for the proportion of viewers in the population who can remember the brand name. E(Phat)
• B. Estimate the standard error of the sample proportion. (Round you answer to four decimal places.)
• C. What is the probability that in a random sample of 500 viewers that less than 30% of people will remember the brand name?
• D. What is the probability that in a random sample of 500 viewers that more than 60% of people will remember the brand name?