4. Sampling Probability Assume that 53% of Americans believe that the pandemic will end by December. a. If you talk to 80 random people, what is the probability that 52% or more of them believe the pandemic will end by December? b. If you speak to 500 random people, what is the probability that less than 51% of them believe the pandemic will end by December? c. You don't know what percent of voters will vote for Joe Biden for president, so you randomly sample 150 American voters, and find that 55% say they will vote for him. What is the 95% confidence interval for p, the population proportion of voters who will vote for Biden?
4. Sampling
Assume that 53% of Americans believe that the pandemic will end by December.
a. If you talk to 80 random people, what is the probability that 52% or more of them believe the pandemic will end by December?
b. If you speak to 500 random people, what is the probability that less than 51% of them believe the pandemic will end by December?
c. You don't know what percent of voters will vote for Joe Biden for president, so you randomly sample 150 American voters, and find that 55% say they will vote for him. What is the 95% confidence interval for p, the population proportion of voters who will vote for Biden?
d. Now, suppose you increase your sample to 700 voters, but only 54% of the sample say they will vote for Biden. What is your new 95% confidence interval for p?
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