According to a Summer 2021 Pew Research Center study, 55% of U.S. adults say that labor unions have a positive effect on the way things are going in their country.

1. If we take a random sample of 500 U.S. adults, how many of those adults would we expect to say labor unions have a positive effect on the way things are going in their country? With what standard deviation?
2. If we take a random sample of 500 U.S. adults, what is the probability that more than 300 of them say that labor unions have a positive effect on the way things are going in their country?
3. What is the probability that exactly 55% of our sample of size 500 says that labor unions have a positive effect on the way things are going in their country?
4. If we take a random sample of 500 U.S. adults, would getting exactly 52% of the sample to say labor unions have a positive effect on the way things are going in their country be an unusually low percentage of people?
5. If we take a random sample of 1000 U.S. adults, would getting exactly 52% of the sample to say labor unions have a positive effect on the way things are going in their country be an unusually low percentage of people?

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