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Why do we study samples instead of populations? What does generalizability refer to? Why is this important for social science? Imagine you wanted to conduct

  1. Why do we study samples instead of populations?
  2. What does generalizability refer to? Why is this important for social science?
  3. Imagine you wanted to conduct a study using a sample from the population of UCLA students. How would you go about collecting a random sample? How would you go about collecting a convenience sample? What are the pros and cons of each approach?
  4. In the context of flipping a coin, what would the statistical terms "trial", "outcome", and "success" refer to?
  5. What do we mean when we say an outcome is independent in terms of probability? Are the age of a child and whether or not they have proper calcium intake independent? Why or why not? Explain.
  6. Calculate the sample proportion of the following instances:
    1. 100 trials, 5 successes
    2. 50 trials, 8 successes
    3. 1044 trials, 130 successes
  7. Which of the following is an example of expected-relative frequency probability? Explain.
    1. The chance of a die showing an even number is 50%
    2. There is a 1 in 4 chance I will miss class tomorrow
    3. The likelihood that I'll eat ice-cream while taking a break from studying is 80%
    4. The odds of being killed in a flight on one of the top 25 safest airlines is 1 in 9.2 million
  8. In each of the following scenarios there is something wrong. Describe what is wrong.
    1. P(A or B) is always equal to the sum of P(A) and P(B)
    2. The probability of an event minus the probability of its complement is always equal to 1
    3. Two events are disjoint if P(B|A)=P(B)

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