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3. (13 points) After word gets out about your great advice to the group of cencerned parents, the local newspaper approaches you about a survey they are going to conduct. They want to determine local support for Joe Biden compared to Donald Trump. The response of person i is recorded as 1 if they support Biden and 0 if they support Donald Trump. Let the probability of a person responding \"Biden\" be equal to p. (a) (3 points) They are deciding between a home phone survey at 10 AM or 7 PM, what would you recommend that they do? (b) (4 points) They ask you how many people they should survey if they want a margin of error equal to 2 percentage points with an assumed value for p of 0.5 (c) (3 points) The local newspaper does not understand your calculation, so they decide to take a random sample with replacement of 1200 people. The results of the survey indicate that 35 = 0.52. i. (2 points) Construct the 95 percent condence interval ii. (1 point) Can we reject the null hypothesis, p = 0.5, assuming a size of 0.05? (d) (3 points) It turns out the intern in charge made a mistake and he randomly sampled without replacement. i. (2 points) Construct a 95 percent condence interval that takes into account the fact that the random samme was drawn without replacement assuming a population of 100,000. ii. (1 points) Can we reject the null hypothesis, p = 0.5, assuming a size of 0.05